On a certain class of a nonlinear evolution partial differential equations

被引：0

作者：

Mesloub, S. ^{[1
]}

Abdusalam, H. A. ^{[2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 217卷 / 01期

关键词：

Reaction diffusion equation; A priori estimate; tanh-Function method; Fisher equation; Soliton solutions;

D O I：

10.1016/j.cam.2007.06.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An existence result and a priori bound for the solution of a second-order nonlinear parabolic equation are established. Also a generalized tanh-function method is used for constructing exact travelling wave solutions for the nonlinear diffusion equation of Fisher type originated from the considered partial differential equation. And new multiple soliton solutions are obtained. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：148 / 156

页数：9

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