2-1维格点差分方程的传播波

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 214-223.

2-1维格点差分方程的传播波

Department of Mathematics, Yanbian University

收稿日期:2011-10-10 出版日期:2013-06-30 发布日期:2023-03-02
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.
基金资助:
Supported by the National Natural Science Foundation of China(11161049)

Traveling Waves for 2-1 Dimension Lattice Diﬀerence Equations

Department of Mathematics, Yanbian University

Received:2011-10-10 Online:2013-06-30 Published:2023-03-02
About author:HOU Cheng-min(1963-), female, native of Yanji, Jilin, a professor of Yanbian University, M.S.D., engages in discrete dynamics system.
Supported by:
Supported by the National Natural Science Foundation of China(11161049)

摘要/Abstract

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.

关键词: traveling waves, lattice dfference equations, discrete heat equation

Abstract: 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

中图分类号:

O175.8

何延生, 侯成敏. 2-1维格点差分方程的传播波 [J]. 数学季刊, 2013, 28(2): 214-223.

HE Yan-sheng, HOU Cheng-min. Traveling Waves for 2-1 Dimension Lattice Diﬀerence Equations [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 214-223.

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