Traveling Waves for 2-1 Dimension Lattice Difference Equations 被引量：1

Traveling Waves for 2-1 Dimension Lattice Difference Equations

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摘要 A definition is introduced about traveling waves of 2-1 dimension lattice difference equations. Discrete heat equation is introduced and a discussion is given for the existence of traveling waves. The theory of traveling waves is extended on 2-1 dimension lattice difference equations. As an application, an example is presented to illustrate the main results. A definition is introduced about traveling waves of 2-1 dimension lattice difference equations. Discrete heat equation is introduced and a discussion is given for the existence of traveling waves. The theory of traveling waves is extended on 2-1 dimension lattice difference equations. As an application, an example is presented to illustrate the main results. Key. words： traveling waves; lattice difference equations; discrete heat equation

作者 HE Yan-sheng HOU Cheng-min

机构地区 Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期214-223,共10页 数学季刊（英文版）

基金 Supported by the National Natural Science Foundation of China（Ill61049）

关键词 traveling waves lattice difference equations discrete heat equation traveling waves lattice difference equations discrete heat equation

分类号 O175.8 [理学—基础数学]

作者简介 HOU Cheng-min（1963-）, female, native of Yanji, Jilin, a professor of Yanbian University, M.S.D engages in discrete dynamics system.

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1张领海.ON TRAVELING WAVES OF A GENERALIZED BISTABLE EQUATION[J].Acta Mathematicae Applicatae Sinica,2001,17(2):286-288.
2Zhi Ting XU,Pei Xuan WENG.Traveling Waves for Nonlocal and Non-monotone Delayed Reaction-difusion Equations[J].Acta Mathematica Sinica,English Series,2013,29(11):2159-2180.
3ZHIPING WANG RUI XU.TRAVELING WAVES OF AN EPIDEMIC MODEL WITH VACCINATION[J].International Journal of Biomathematics,2013,6(5):115-133.
4ZHE LI RUI XU.TRAVELING WAVES IN A REACTION-DIFFUSION PREDATOR-PREY SYSTEM WITH NONLOCAL DELAYS[J].International Journal of Biomathematics,2012,5(5):167-185.
5TIAN BaoChuan,YUAN Rong.Traveling waves for a diffusive SEIR epidemic model with standard incidences[J].Science China Mathematics,2017,60(5):813-832. 被引量：3
6WANG Zhi-ping XU Rui ZHANG Shi-hua.Traveling Waves for an Epidemic Model with Vaccination and Nonlocal Diffusion[J].Chinese Quarterly Journal of Mathematics,2015,30(2):287-299.
7郭柏灵,潘兴德.SIMILARITY TRANSFORMATION, THE STRUCTURE OF THE TRAVELING WAVES SOLUTION AND THE EXISTENCE OF A GLOBAL SMOOTH SOLUTION TO GENERALIZED KURAMOTO SIVASHINSKY TYPE EQUATIONS[J].Acta Mathematica Scientia,1991,11(1):48-55.
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10Zongyi Wang(Dept.of Math.,Huizhou University,Huizhou 516007,Guangdong).TRAVELING WAVES CONNECTING EQUILIBRIUM AND PERIODIC ORBIT FOR DELAYED LATTICE DIFFERENTIAL EQUATION[J].Annals of Differential Equations,2012,28(3):338-345.

Chinese Quarterly Journal of Mathematics

2013年第2期

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Traveling Waves for 2-1 Dimension Lattice Difference Equations 被引量：1

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