摘要
运用李群分析法得到一类非线性浅水波方程的李点对称约化方程,应用截断幂级数展开法求解约化方程,得到方程新的非行波精确解,并讨论解的局域演化特征及几何结构。
The Lie group analysis method is used to obtain Lie point symmetry reduced equations for a class of nonlinear shallow water wave equations, and the truncated power series expansion method is also used to solve the reduced equation. Some new non-traveling wave exact solutions are obtained, and the local evolution characteristics and geometric structure of a certain solution are discussed.
作者
康晓蓉
鲜大权
鲜骊珠
KANG Xiaorong;XIAN Daquan;XIAN Lizhu(School of Sciences,Southwest University of Science and Technology,Mianyang 621010 China;Chengdu University of Technology Sino-British Collaborative Education,Chengdu 610059 China)
出处
《西华大学学报（自然科学版）》
CAS
2021年第6期103-108,共6页
Journal of Xihua University:Natural Science Edition
基金
西南科技大学教改项目(19xn0040)。
关键词
非线性浅水波方程
李群分析
截断幂级数展开法
精确解
局域演化特征
nonlinear shallow water equations
Lie group analysis
truncated power series expansion method
exact solution
local evolution characteristics
作者简介
第一作者:康晓蓉(1970-),女,副教授,主要研究方向为可积系统理论应用。ORCID:0000-0002-3096-5220,E-mail:kangxiaorong@swust.edu.cn。
