期刊论文

中文

数学物理学报

1003-3998

2012

32

1

113-125

10.3969/j.issn.1003-3998.2012.01.010

:教育部留学回国人员科研启动基金 Y6100166:浙江省自然科学基金

本校为其他机构

该文利用扰动方法研究具非线性扩散项及一般形式反应项系统行波解的存在性.得到该类系统存在行波解的充分条件,使得相关参考文献的结果成为本文主定理的推论.作为应用给出了一类具体的反应扩散系统行波解的存在性条件.

In this paper, the authors use the perturbation method to investigate the existence of traveling fronts for a general reaction system with nonlinear diffusion. Sufficient conditions for the existence of traveling wavefronts are obtained, which make the results in the related references derived easily. As an application the authors employ the obtained results to show the existence of traveling fronts for a specific reaction-diffusion system. Key words： Non...