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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]
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参考文献16

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同被引文献7

  • 1Bell J,Cosner C.Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons[J].Quart Appl Math,1984,42:1-14.
  • 2Britton N F.Traveling wave front solutions of a differential-difference equation arising in the modeling of myelinated nerve axon[J].Ordinary and Partial Differential Equations,Lecture Notes in Mathematics,2006,1151(1985):77-89.
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  • 4Shao Yuanhuang,Sui Suncheng.Existence of periodic traveling wave solutions of non-autonomous reaction-diffusion equations with lambda-omega type[J].J Math Anal Appl,2014,409:607-613.
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  • 6Fu S C,Guo J S,Shieh S Y.Traveling wave solutions for some discrete quasilinear parabolic equations[J].Nonlinear Anal,2002,48:1137-1149.
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引证文献1

Chinese Quarterly Journal of Mathematics
2013年 第2期

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