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Chimera states of phase oscillator populations with nonlocal higher-order couplings
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作者 伍勇刚 余华健 +1 位作者 郑志刚 徐灿 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期402-407,共6页
The chimera states underlying many realistic dynamical processes have attracted ample attention in the area of dynamical systems.Here, we generalize the Kuramoto model with nonlocal coupling incorporating higher-order... The chimera states underlying many realistic dynamical processes have attracted ample attention in the area of dynamical systems.Here, we generalize the Kuramoto model with nonlocal coupling incorporating higher-order interactions encoded with simplicial complexes.Previous works have shown that higher-order interactions promote coherent states.However, we uncover the fact that the introduced higher-order couplings can significantly enhance the emergence of the incoherent state.Remarkably, we identify that the chimera states arise as a result of multi-attractors in dynamic states.Importantly, we review that the increasing higher-order interactions can significantly shape the emergent probability of chimera states.All the observed results can be well described in terms of the dimension reduction method.This study is a step forward in highlighting the importance of nonlocal higher-order couplings, which might provide control strategies for the occurrence of spatial-temporal patterns in networked systems. 展开更多
关键词 synchronization complex system coupled oscillators phase transition
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Defects‑Rich Heterostructures Trigger Strong Polarization Coupling in Sulfides/Carbon Composites with Robust Electromagnetic Wave Absorption
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作者 Jiaolong Liu Siyu Zhang +14 位作者 Dan Qu Xuejiao Zhou Moxuan Yin Chenxuan Wang Xuelin Zhang Sichen Li Peijun Zhang Yuqi Zhou Kai Tao Mengyang Li Bing Wei Hongjing Wu Mengyang Li Bing Wei Hongjing Wu 《Nano-Micro Letters》 SCIE EI CAS 2025年第1期528-547,共20页
Defects-rich heterointerfaces integrated with adjustable crystalline phases and atom vacancies,as well as veiled dielectric-responsive character,are instrumental in electromagnetic dissipation.Conventional methods,how... Defects-rich heterointerfaces integrated with adjustable crystalline phases and atom vacancies,as well as veiled dielectric-responsive character,are instrumental in electromagnetic dissipation.Conventional methods,however,constrain their delicate constructions.Herein,an innovative alternative is proposed:carrageenan-assistant cations-regulated(CACR)strategy,which induces a series of sulfides nanoparticles rooted in situ on the surface of carbon matrix.This unique configuration originates from strategic vacancy formation energy of sulfides and strong sulfides-carbon support interaction,benefiting the delicate construction of defects-rich heterostructures in M_(x)S_(y)/carbon composites(M-CAs).Impressively,these generated sulfur vacancies are firstly found to strengthen electron accumulation/consumption ability at heterointerfaces and,simultaneously,induct local asymmetry of electronic structure to evoke large dipole moment,ultimately leading to polarization coupling,i.e.,defect-type interfacial polarization.Such“Janus effect”(Janus effect means versatility,as in the Greek two-headed Janus)of interfacial sulfur vacancies is intuitively confirmed by both theoretical and experimental investigations for the first time.Consequently,the sulfur vacancies-rich heterostructured Co/Ni-CAs displays broad absorption bandwidth of 6.76 GHz at only 1.8 mm,compared to sulfur vacancies-free CAs without any dielectric response.Harnessing defects-rich heterostructures,this one-pot CACR strategy may steer the design and development of advanced nanomaterials,boosting functionality across diverse application domains beyond electromagnetic response. 展开更多
关键词 Defects-rich heterointerfaces Sulfides Polarization coupling Electromagnetic wave absorption
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Soliton Solutions of a Coupled KdV System via Backlund Transformation
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作者 CAO Xifang WU Yiheng +2 位作者 LU Yi XU Wenjing XIA Yutong 《应用数学》 北大核心 2025年第1期211-216,共6页
In this paper we use Böcklund transformation to construct soliton solutions for a coupled KdV system.This system was first proposed by Wang in 2010.First we generalize the well-known Bäcklund transformation ... In this paper we use Böcklund transformation to construct soliton solutions for a coupled KdV system.This system was first proposed by Wang in 2010.First we generalize the well-known Bäcklund transformation for the KdV equation to such coupled KdV system.Then from a trivial seed solution,we construct soliton solutions.We also give a nonlinear superposition formula,which allows us to generate multi-soliton solutions. 展开更多
关键词 KdV equation coupled KdV system B¨acklund transformation SOLITON
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In-situ Ultrafast Transmission Electron Microscopy:Advancing Ultrafast Dynamics Research under Multi-Field Coupling at the Nanoscale
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作者 Shaozheng Ji Lenan Chen Xuewen Fu 《Chinese Physics Letters》 2025年第1期99-101,共3页
In recent years,the development of ultrafast transmission electron microscopy(UTEM)has created new opportunities for studying dynamic processes at the nanoscale with unprecedented temporal resolution.~([1–3])The sign... In recent years,the development of ultrafast transmission electron microscopy(UTEM)has created new opportunities for studying dynamic processes at the nanoscale with unprecedented temporal resolution.~([1–3])The significant advances in femtosecond and even attosecond temporal resolution are achieved through the integration of the pump-probe principle with transmission electron microscopy(TEM). 展开更多
关键词 resolution. ELECTRON couplING
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Electrocatalytic cleavage of a lignin β-O-4 model compound and coupling with nitrogen-containing aromatics using Prussian blue analogue-derived nickel–cobalt spinel
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作者 Yi Qi Xueying Chen +3 位作者 Bowen Liu Xuliang Lin Xueqing Qiu Yanlin Qin 《Journal of Energy Chemistry》 2025年第1期628-636,共9页
Electrochemical conversion of lignin for the production of high-value heterocyclic aromatic compounds has great potential.We demonstrate the targeted synthesis and cation modulation of NiCo_(2)O_(4)spinel nanoboxes,sy... Electrochemical conversion of lignin for the production of high-value heterocyclic aromatic compounds has great potential.We demonstrate the targeted synthesis and cation modulation of NiCo_(2)O_(4)spinel nanoboxes,synthesized via cation exchange and calcination oxidation.These catalysts exhibit excellent efficacy in the electrocatalytic conversion of lignin model compounds,specifically 2-phenoxy-1-phenylethanol,into nitrogen-containing aromatics,achieving high conversion rates and selectivities.These catalysts were synthesized via a cation exchange and calcination oxidation process,using Prussian blue nanocubes as precursors.The porous architecture and polymetallic composition of the NiCo_(2)O_(4)spinel demonstrated superior performance in electrocatalytic oxidative coupling,achieving a 99.2 wt%conversion rate of the 2-phenoxy-1-phenylethanol with selectivities of 37.5 wt%for quinoline derivatives and 31.5 wt%for phenol.Key innovations include the development of a sustainable one-pot synthesis method for quinoline derivatives,the elucidation of a multistage reaction pathway involving CAO bond cleavage,hydroxyaldol condensation,and CAN bond formation,and a deeper mechanistic understanding derived from DFT simulations.This work establishes a new strategy for lignin valorization,offering a sustainable route to produce high-value nitrogen-containing aromatics from renewable biomass under mild conditions,without the need for additional reagents. 展开更多
关键词 SPINEL Biomass valorization Electrocatalysis Lignin oxidation coupling
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Four-wave mixing Bragg scattering for small frequency shift from silicon coupled microrings
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作者 Chang Zhao Chao Wu +5 位作者 Pingyu Zhu Yuxing Du Yan Wang Miaomiao Yu Kaikai Zhang Ping Xu 《Chinese Physics B》 2025年第1期351-355,共5页
Frequency conversion is pivotal in nonlinear optics and quantum optics for manipulating and translating light signals across different wavelength regimes.Achieving frequency conversion between two light beams with a s... Frequency conversion is pivotal in nonlinear optics and quantum optics for manipulating and translating light signals across different wavelength regimes.Achieving frequency conversion between two light beams with a small frequency interval is a central challenge.In this work,we design a pair of coupled silicon microrings wherein coupled-induced modesplitting exists to achieve a small frequency shift by the process of four-wave mixing Bragg scattering.As an example,the signal can be up or down converted to the idler which is 15.5 GHz spaced when two pumps align with another pair of split resonances.The results unveil the potential of coupled microring resonators for small interval frequency conversion in a high-fidelity,all-optical,and signal processing quantum frequency interface. 展开更多
关键词 four-wave mixing Bragg scattering silicon coupled microrings
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Impact of Various Coupled Motions on the Aerodynamic Performance of a Floating Offshore Wind Turbine Within the Wind–Rain Field
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作者 Yazhou Wang Yalong Guo +1 位作者 Xujiang Xia Ning Zhuang 《哈尔滨工程大学学报(英文版)》 2025年第2期370-387,共18页
This study employed a computational fluid dynamics model with an overset mesh technique to investigate the thrust and power of a floating offshore wind turbine(FOWT)under platform floating motion in the wind–rain fie... This study employed a computational fluid dynamics model with an overset mesh technique to investigate the thrust and power of a floating offshore wind turbine(FOWT)under platform floating motion in the wind–rain field.The impact of rainfall on aerodynamic performance was initially examined using a stationary turbine model in both wind and wind–rain conditions.Subsequently,the study compared the FOWT’s performance under various single degree-of-freedom(DOF)motions,including surge,pitch,heave,and yaw.Finally,the combined effects of wind–rain fields and platform motions involving two DOFs on the FOWT’s aerodynamics were analyzed and compared.The results demonstrate that rain negatively impacts the aerodynamic performance of both the stationary turbines and FOWTs.Pitch-dominated motions,whether involving single or multiple DOFs,caused significant fluctuations in the FOWT aerodynamics.The combination of surge and pitch motions created the most challenging operational environment for the FOWT in all tested scenarios.These findings highlighted the need for stronger construction materials and greater ultimate bearing capacity for FOWTs,as well as the importance of optimizing designs to mitigate excessive pitch and surge. 展开更多
关键词 Floating offshore wind turbine Aerodynamic performance coupled motions Wind–rain field
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A novel approach based on journal coupling to determine authors who are most likely to be part of the same invisible college
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作者 Jose A.Garcia Rosa Rodriguez-Sanchez J.Fdez-Valdivia 《Journal of Data and Information Science》 2025年第1期101-131,共31页
Purpose:In this paper,we use author clustering based on journal coupling(i.e.,shared academic journals)to determine researchers who have the same scientific interests and similar conceptual frameworks.The basic assump... Purpose:In this paper,we use author clustering based on journal coupling(i.e.,shared academic journals)to determine researchers who have the same scientific interests and similar conceptual frameworks.The basic assumption is that authors who publish in the same academic journals are more likely to share similar conceptual frameworks and interests than those who never publish in the same venues.Therefore,they are more likely to be part of the same invisible college(i.e.,authors in this subgroup contribute materially to research on the same topic and often publish their work in similar publication venues).Design/methodology/approach:Test in a controlled exercise the grouping of authors based on journal coupling to determine invisible colleges in a research field using a case study of 302 authors who had published in the Information Science and Library Science(IS&LS)category of the Web of Science Core Collection.For each author,we retrieved all the scientific journals in which this author had published his/her articles.We then used the cosine measure to calculate the similarity between authors(both first and second order).Findings:In this paper,using journal coupling of IS&LS authors,we found four main invisible colleges:“Information Systems”,“Business and Information Management”,“Quantitative Information Science”and“Library Science.”The main journals that determine the existence of these invisible colleges were Inform Syst Res,Inform Syst J,J Bus Res,J Knowl Manage,J Informetr,Pro Int Conf Sci Inf,Int J Geogr Inf Sci,J Am Med Inform Assn,and Learn Publ.However,the main journals that demonstrate that IS&LS determine a field were J Am Soc Inf Sci Tec/J Assoc Inf Sci Tech,Scientometrics,Inform Process Manag,and J Inf Sci.Research limitations:The results shown in this article are from a controlled exercise.The analysis performed using journal coupling excludes books,book chapters,and conference papers.In this article,only academic journals were used for the representation of research results.Practical implications:Our results may be of interest to IS&LS scholars.This is because these results provide a new lens for grouping authors,making use of the authors’journal publication profile and journal coupling.Furthermore,extending our approach to the study of the structure of other disciplines would possibly be of interest to historians of science as well as scientometricians.Originality/value:This is a novel approach based on journal coupling to determine authors who are most likely to be part of the same invisible college. 展开更多
关键词 AUTHORS Journal coupling Clustering Invisible College IS&LS Category Web of Science Core Collection
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Synergistic promotion strategy of “dual-site” and “dual-path” to enhance the C–C coupling between CO_(2) and HCHO driven by photoelectrocatalysis
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作者 Hongqiang Yang Jianfeng Zheng +6 位作者 Guoyu Wang Yifei Gao Yatao Yang Jia Li Xiaojin Han Yan Cui Zhanggen Huang 《Journal of Energy Chemistry》 2025年第1期39-49,共11页
Photoelectrocatalytic coupling CO_(2)and volatile organic compounds (VOCs) is a promising green strategy for the synergistic conversion of the two carbon-containing resources to C2products.The catalytic efficiency is ... Photoelectrocatalytic coupling CO_(2)and volatile organic compounds (VOCs) is a promising green strategy for the synergistic conversion of the two carbon-containing resources to C2products.The catalytic efficiency is always at the mercy of chemical inertness of CO_(2)and the competitive hydrogen evolution of H2O.Herein,a modified g-C_(3)N_(4)/ZnAl-LDH Z-scheme heterojunction catalyst with dual reaction site was rationally designed and precisely constructed.The Faraday efficiency of ethanol reached 68.67%with a corresponding formation rate of 227.3μmol g^(-1)h^(-1).As revealed by in-situ characterizations and density functional theory calculations,CO_(2)and HCHO were absorbed at Zn site and N site,respectively.Then,*CO generated from CO_(2)and HCHO was converted to*CH_(3)O and*CHO on the dual-active-site heterojunction.The detailed reaction mechanism experiments indicated that C–C coupling only occurred between*CO and*CH_(3)O in electrocatalysis process.Apart from the“*CO+*CH_(3)O”path,another“*CO+*CHO”coupling path was also detected in photoelectrocatalytic process.The selectivity of ethanol was significantly enhanced due to the synthesis of dual-site catalyst and the dual-path coupling path between CO_(2)and HCHO simultaneously driven by light and electricity. 展开更多
关键词 g-C_(3)N_(4)/ZnAl-LDH heterojunction Z-scheme C-C coupling ETHANOL
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Three-dimensional simulations of RF wave propagation and power coupling in cold magnetized plasma near an ICRF antenna
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作者 Lei-Yu Zhang Yi-Xuan Li Quan-Zhi Zhang 《Chinese Physics B》 2025年第2期352-360,共9页
The electromagnetic wave propagations and their coupling characteristics in magnetized plasma near the antenna of ion cyclotron range of frequencies(ICRF)is studied based on self-developed 3DFEM-IA code.This code effe... The electromagnetic wave propagations and their coupling characteristics in magnetized plasma near the antenna of ion cyclotron range of frequencies(ICRF)is studied based on self-developed 3DFEM-IA code.This code effectively resolves the three-dimensional(3D)geometry and the electromagnetic field using the finite element method.Our findings reveal that the distributions of electromagnetic fields and energy flow density significantly depend on the antenna phases,surface current density on the antenna straps,and background plasma density.Notably,the non-uniform surface current density on the antenna straps,resulting from the presence of induced currents,contributes to a reduction in coupling power within the edge plasma.Furthermore,the calculated coupling impedance increases with plasma density,corroborating well with experimental measurements. 展开更多
关键词 magnetized plasma antenna of ion cyclotron range of frequencies(ICRF) power coupling
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Tuning the interfacial reaction environment via pH-dependent and induced ions to understand C–N bonds coupling performance in NO_(3)-integrated CO_(2)reduction to carbon and nitrogen compounds over dual Cu-based N-doped carbon catalyst
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作者 Tianhang Zhou Chen Shen +2 位作者 Zhenghao Wu Xingying Lan Yi Xiao 《Journal of Energy Chemistry》 2025年第1期273-285,共13页
Dual atomic catalysts(DAC),particularly copper(Cu_(2))-based nitrogen(N)doped graphene,show great potential to effectively convert CO_(2)and nitrate(NO_(3)-)into important industrial chemicals such as ethylene,glycol,... Dual atomic catalysts(DAC),particularly copper(Cu_(2))-based nitrogen(N)doped graphene,show great potential to effectively convert CO_(2)and nitrate(NO_(3)-)into important industrial chemicals such as ethylene,glycol,acetamide,and urea through an efficient catalytical process that involves C–C and C–N coupling.However,the origin of the coupling activity remained unclear,which substantially hinders the rational design of Cu-based catalysts for the N-integrated CO_(2)reduction reaction(CO_(2)RR).To address this challenge,this work performed advanced density functional theory calculations incorporating explicit solvation based on a Cu_(2)-based N-doped carbon(Cu_(2)N_(6)C_(10))catalyst for CO_(2)RR.These calculations are aimed to gain insight into the reaction mechanisms for the synthesis of ethylene,acetamide,and urea via coupling in the interfacial reaction micro-environment.Due to the sluggishness of CO_(2),the formation of a solvation electric layer by anions(F^(-),Cl^(-),Br^(-),and I^(-))and cations(Na+,Mg^(2+),K+,and Ca^(2+))leads to electron transfer towards the Cu surface.This process significantly accelerates the reduction of CO_(2).These results reveal that*CO intermediates play a pivotal role in N-integrated CO_(2)RR.Remarkably,the Cu_(2)-based N-doped carbon catalyst examined in this study has demonstrated the most potential for C–N coupling to date.Our findings reveal that through the process of a condensation reaction between*CO and NH_(2)OH for urea synthesis,*NO_(3)-is reduced to*NH_(3),and*CO_(2)to*CCO at dual Cu atom sites.This dual-site reduction facilitates the synthesis of acetamide through a nucleophilic reaction between NH_(3)and the ketene intermediate.Furthermore,we found that the I-and Mg^(2+)ions,influenced by pH,were highly effective for acetamide and ammonia synthesis,except when F-and Ca^(2+)were present.Furthermore,the mechanisms of C–N bond formation were investigated via ab-initio molecular dynamics simulations,and we found that adjusting the micro-environment can change the dominant side reaction,shifting from hydrogen production in acidic conditions to water reduction in alkaline ones.This study introduces a novel approach using ion-H_(2)O cages to significantly enhance the efficiency of C–N coupling reactions. 展开更多
关键词 pH-dependent micro-environments C-N coupling N-integrated CO_(2)RR Dual Cu-based nitrogen carbon catalysts Explicit solvation model lon stabilizer AIMD
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Two new integrable couplings of the soliton hierarchies with self-consistent sources 被引量:7
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作者 夏铁成 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第10期49-56,共8页
A kind of integrable coupling of soliton equations hierarchy with self-consistent sources associated with s/(4) has been presented (Yu F J and Li L 2009 Appl. Math. Comput. 207 171; Yu F J 2008 Phys. Lett. A 372 6... A kind of integrable coupling of soliton equations hierarchy with self-consistent sources associated with s/(4) has been presented (Yu F J and Li L 2009 Appl. Math. Comput. 207 171; Yu F J 2008 Phys. Lett. A 372 6613). Based on this method, we construct two integrable couplings of the soliton hierarchy with self-consistent sources by using the loop algebra sl(4). In this paper, we also point out that there are some errors in these references and we have corrected these errors and set up new formula. The method can be generalized to other soliton hierarchy with self-consistent sources. 展开更多
关键词 TC hierarchy generalized Burgers hierarchy self-consistent sources integrable couplings loop algebra
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Multi-component Dirac equation hierarchy and its multi-component integrable couplings system 被引量:8
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作者 夏铁成 尤福财 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第3期605-610,共6页
A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M- dimensional loop algebra ~X is produced. By taking advantage of ~X a new isospectral problem is established and... A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M- dimensional loop algebra ~X is produced. By taking advantage of ~X a new isospectral problem is established and then by making use of the Tu scheme the multi-component Dirac equation hierarchy is obtained. Finally, an expanding loop algebra ~FM of the loop algebra ~X is presented. Based on the ~FM, the multi-component integrable coupling system of the multi-component Dirac equation hierarchy is investigated. The method in this paper can be applied to other nonlinear evolution equation hierarchies. 展开更多
关键词 loop algebra zero curvature equation multi-component Dirac equation hierarchy multi-component integrable couplings system
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A New Nonlinear Integrable Couplings of Yang Equations Hierarchy and Its Hamiltonian Structure 被引量:4
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作者 WEI Han-yu XIA Tie-cheng 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第2期180-188,共9页
Based on a kind of non-semisimple Lie algebras, we establish a way to construct nonlinear continuous integrable couplings. Variational identities over the associated loop algebras are used to furnish Hamiltonian struc... Based on a kind of non-semisimple Lie algebras, we establish a way to construct nonlinear continuous integrable couplings. Variational identities over the associated loop algebras are used to furnish Hamiltonian structures of the resulting continuous couplings.As an illustrative example of the scheme is given nonlinear continuous integrable couplings of the Yang hierarchy. 展开更多
关键词 zero curvature equations integrable couplings variational identities
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GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS OF SOLITON HIERARCHY 被引量:3
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作者 魏含玉 夏铁成 《Acta Mathematica Scientia》 SCIE CSCD 2014年第1期53-64,共12页
Based on fractional isospectral problems and general bilinear forms, the gener-alized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable coup... Based on fractional isospectral problems and general bilinear forms, the gener-alized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable couplings of a fractional soliton hierarchy are derived from a fractional zero-curvature equation. Finally, we obtain the fractional Hamiltonian structures of the fractional integrable couplings of the soliton hierarchy. 展开更多
关键词 generalized fractional trace variational identity fractional integrable couplings soliton hierarchy Hamiltonian structure
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Characteristics of anomalous Hall effect in spin-polarized two-dimensional electron gases in the presence of both intrinsic,extrinsic,and external electric-field induced spin-orbit couplings 被引量:1
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作者 Liu Song Yan Yu-Zhen Hu Liang-Bin 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第2期469-476,共8页
The various competing contributions to the anomalous Hall effect in spin-polarized two-dimensional electron gases in the presence of both intrinsic, extrinsic and external electric-field induced spin-orbit coupling we... The various competing contributions to the anomalous Hall effect in spin-polarized two-dimensional electron gases in the presence of both intrinsic, extrinsic and external electric-field induced spin-orbit coupling were investigated theoretically. Based on a unified semiclassical theoretical approach, it is shown that the total anomalous Hall conductivity can be expressed as the sum of three distinct contributions in the presence of these competing spin-orbit interactions, namely an intrinsic contribution determined by the Berry curvature in the momentum space, an extrinsic contribution determined by the modified Bloch band group velocity and an extrinsic contribution determined by spin-orbit-dependent impurity scattering. The characteristics of these competing contributions are discussed in detail in the paper. 展开更多
关键词 anomalous Hall effect intrinsic spin orbit coupling extrinsic spin orbit coupling exter- nal electric-field induced spin-orbit coupling
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Nonlinear integrable couplings of a nonlinear Schrdinger-modified Korteweg de Vries hierarchy with self-consistent sources 被引量:1
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作者 杨红卫 董焕河 尹宝树 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期22-28,共7页
By means of the Lie algebra B 2,a new extended Lie algebra F is constructed.Based on the Lie algebras B 2 and F,the nonlinear Schro¨dinger-modified Korteweg de Vries(NLS-mKdV) hierarchy with self-consistent sou... By means of the Lie algebra B 2,a new extended Lie algebra F is constructed.Based on the Lie algebras B 2 and F,the nonlinear Schro¨dinger-modified Korteweg de Vries(NLS-mKdV) hierarchy with self-consistent sources as well as its nonlinear integrable couplings are derived.With the help of the variational identity,their Hamiltonian structures are generated. 展开更多
关键词 nonlinear integrable couplings NLS-mKdV hierarchy self-consistent sources
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Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy 被引量:1
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作者 Yu Fa-Jun 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第1期18-23,共6页
In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. Prom the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquis... In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. Prom the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable couplings of the KdV equation. 展开更多
关键词 nonlinear integrable coupling system prolongation structure KdV soliton hierarchy
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Multi-component KN Hierarchy and Associated two Integrable Couplings as Well as Their Hamiltonian Structure 被引量:2
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作者 JIANG Xiao-wu LI Zhu 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期415-422,共8页
Firstly, a vector loop algebra G3 is constructed, by use of it multi-component KN hierarchy is obtained. Further, by taking advantage of the extending vector loop algebras G6 and G9 of G3 the double integrable couplin... Firstly, a vector loop algebra G3 is constructed, by use of it multi-component KN hierarchy is obtained. Further, by taking advantage of the extending vector loop algebras G6 and G9 of G3 the double integrable couplings of the multi-component KN hierarchy are worked out respectively. Finally, Hamiltonian structures of obtained system are given by quadratic-form identity. 展开更多
关键词 KN hierarchy integrable couplings quadratic-form identity Hamiltonian structure
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Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling
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作者 Jiayu Xie Zhihao Deng +1 位作者 Xia Chang Bing Tang 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第7期449-458,共10页
We report a theoretical work on the properties of modulational instability and bright type nonlinear localized modes in one-dimensional easy-axis weak ferromagnetic spin lattices involving next-nearest-neighbor coupli... We report a theoretical work on the properties of modulational instability and bright type nonlinear localized modes in one-dimensional easy-axis weak ferromagnetic spin lattices involving next-nearest-neighbor couplings.With a linear stability analysis, we calculate the growth rates of the modulational instability, and plot the instability regions.When the strength of the next-nearest-neighbor coupling is large enough, two new asymmetric modulational instability regions appear near the boundary of the first Brillouin zone.Furthermore, analytical forms of the bright nonlinear localized modes are constructed by means of a quasi-discreteness approach.The influence of the next-nearest-neighbor coupling on the Brillouin zone center mode and boundary mode are discussed.In particular, we discover a reversal phenomenon of the propagation direction of the Brillouin zone boundary mode. 展开更多
关键词 modulational instability analysis intrinsic LOCALIZED SPIN-WAVE MODES weak FERROMAGNETS next-nearest-neighbor couplings
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