应用数学2017，Vol.30Issue(1)：1-7,7.
一类广义非线性反应扩散方程奇摄动问题激波解
The Shock Wave Solution of a Class of Singularly Perturbed Problem for Generalized Nonlinear Reaction Diffusion Equation
摘要
Abstract
A class of generalized singularly perturbed initial boundary value problem for the nonlinear reaction diffusion equation is considered.Firstly,the outer solution for nonlinear problem is constructed.Secondly,the shock wave layer and boundary layer corrective terms are obtained using the local coordinate systems and the stretched variables.Finally,the asymptotic behavior of the generalized solution for the initial boundary value problem of nonlinear reaction diffusion equation is studied using the fixed point theory.关键词
非线性/奇摄动/激波解Key words
Nonlinear/Singular perturbation/Shock wave solution分类
数理科学引用本文复制引用
冯依虎,陈贤峰,莫嘉琪..一类广义非线性反应扩散方程奇摄动问题激波解[J].应用数学,2017,30(1):1-7,7.基金项目
Supported by the National Natural Science Foundation of China(11371248),the Natural Science Foundation of the Education Department of Anhui Province,China (KJ2015A347) and the Key Projects of Outstanding Young Talents of Universities in Anhui Province (gxyqZD2016520) （11371248）
