ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF #br#
NONLINEAR REACTION DIFFUSION EQUATION

doi:10.1016/S0252-9602(07)60074-5

数学物理学报(英文版)

ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF #br# NONLINEAR REACTION DIFFUSION EQUATION

莫嘉琪; 张伟江; 何铭

安徽师范大学数学系, 芜湖 241000

收稿日期:2005-11-20 修回日期:1900-01-01 出版日期:2007-10-20 发布日期:2007-10-20
通讯作者: 莫嘉琪
基金资助:
Supported by the National Natural Science Foundation of China (40676016 and 10471039), the National Key Project for Basic Research (2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221), in part by E-Institutes of Shanghai Municipal Education Commission (N.E03004) and the Natural Science Foundation of Zeijiang, China (Y606268).

ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF #br# NONLINEAR REACTION DIFFUSION EQUATION

Mo Jiaqi; Zhang Weijiang; He Ming

1.Department of Mathemtics, Anhui Normal University, Wuhu 241000, China
2.Department of Mathematics, Huzhou Teachers' College, Huzhou 313000, China
3.Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
4.Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China

Received:2005-11-20 Revised:1900-01-01 Online:2007-10-20 Published:2007-10-20
Contact: Mo Jiaqi

摘要/Abstract

摘要：

In this article the travelling wave solution for a class of nonlinear reaction diffusion problems are considered. Using the homotopic method and the theory of travelling wave transform, the approximate solution for the corresponding problem is obtained.

关键词: Travelling wave solution, homotopic method of solution, reaction diffusion

Abstract:

Key words: Travelling wave solution, homotopic method of solution, reaction diffusion

中图分类号:

35B25

莫嘉琪; 张伟江; 何铭. ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF #br# NONLINEAR REACTION DIFFUSION EQUATION[J]. 数学物理学报(英文版), 2007, 27(4): 777-780.

Mo Jiaqi; Zhang Weijiang; He Ming. ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF #br# NONLINEAR REACTION DIFFUSION EQUATION[J]. Acta mathematica scientia,Series B, 2007, 27(4): 777-780.

[1]	莫嘉琪. A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS[J]. 数学物理学报(英文版), 2003, 23(3): 377-.
[2]	莫嘉琪, 韩祥临, 陈松林. THE SINGULARLY PERTURBED NONLOCAL REACTION DIFFUSION SYSTEM[J]. 数学物理学报(英文版), 2002, 22(4): 549-556.
[3]	莫嘉琪, 冯茂春. THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH TIME DELAY[J]. 数学物理学报(英文版), 2001, 21(2): 254-258.
[4]	潘荣华. THE NONLINEAR STABILITY OF TRAVELLING WAVE SOLUTIONS FOR A REACTING FLOW MODEL WITH SOURCE TERM[J]. 数学物理学报(英文版), 1999, 19(1): 26-36.
[5]	陈松林, 莫嘉琪. THE NONLOCAL PROBLEMS FOR SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS[J]. 数学物理学报(英文版), 1998, 18(S1): 78-82.
[6]	郭柏灵, 王碧祥. UPPER SEMICONTINUITY OF ATTRACTORS FOR THE REACTION DIFFUSION EQUATION[J]. 数学物理学报(英文版), 1998, 18(2): 139-145.
[7]	王明新, 吴永辉. A NOTE ON THE GLOBAL SOLUTIONS OF A SEMILINEAR REACTION DIFFUSION SYSTEM[J]. 数学物理学报(英文版), 1996, 16(1): 97-100.

ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF #br# NONLINEAR REACTION DIFFUSION EQUATION

ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF #br# NONLINEAR REACTION DIFFUSION EQUATION

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