Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method

被引：74

作者：

Abdel-Gawad, H. I. ^{[1
]}

Osman, Mohamed ^{[1
]}

机构：

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

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2014年 / 45卷 / 01期

关键词：

Exact solution; extended unified method; Korteweg-de Vries equation; variable coefficients; AUTO-BACKLUND TRANSFORMATION; PERIODIC-WAVE SOLUTIONS; SIMILARITY REDUCTIONS; PAINLEVE PROPERTY;

D O I：

10.1007/s13226-014-0047-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently the unified method for finding traveling wave solutions of nonlinear evolution equations was proposed by one of the authors. It was shown that, this method unifies all the methods being used to find these solutions. In this paper, we extend this method to find a class of formal exact solutions to Korteweg-de Vries equation with space-time dependent coefficients.

引用

页码：1 / 11

页数：11

共 22 条

[1] Towards a Unified Method for Exact Solutions of Evolution Equations. An Application to Reaction Diffusion Equations with Finite Memory Transport [J].