A new general algebraic method with symbolic computation and its application to two nonlinear differential equations with nonlinear terms of any order

被引：4

作者：

Wang, Jing ^{[1
]}

Zhang, Xiaoling

Song, Lina

Zhang, Hongqing

机构：

[1] Henan Polytech Univ, Dept Math & Informat, Jiaozuo 454000, Peoples R China

[2] Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 02期

关键词：

generalized Riccati equation rational expansion method; single nonlinear reaction-diffusion equation with nonlinear terms of any order; compound KdV-Burgers equation with nonlinear terms of any order; symbolic computation;

D O I：

10.1016/j.amc.2006.05.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, with the help of symbolic computation system Maple, we present a new generalized Riccati equation rational expansion method and successfully obtain some new rational formal solutions of some nonlinear partial differential equation with nonlinear terms of any order. The presented method can also be applied to other nonlinear evolution equations with nonlinear terms of any order. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1330 / 1340

页数：11

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