Exact Solutions of Space Dependent Korteweg-de Vries Equation by The Extended Unified Method

被引：80

作者：

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

Elazab, Nasser S. ^{[1
]}

Osman, Mohamed ^{[1
]}

机构：

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

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2013年 / 82卷 / 04期

关键词：

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

D O I：

10.7566/JPSJ.82.044004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently the unified method for finding traveling wave solutions of nonlinear evolution equations was proposed by one of the authors (HIAG). 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 dependent coefficients.

引用

页数：4

共 21 条

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