A generalized Weierstrass elliptic function expansion method for solving some nonlinear partial differential equations

被引：10

作者：

Saied, E. A. ^{[1
]}

Abd El-Rahman, Reda G. ^{[1
]}

Ghonamy, Marwa I. ^{[1
]}

机构：

[1] Benha Univ, Fac Sci, Dept Math, Banha, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 09期

关键词：

Weierstrass elliptic function solutions; First-kind elliptic equation; Periodic solutions; mKdV equation; KP equation; PERIODIC-WAVE SOLUTIONS; KLEIN-GORDON-SCHRODINGER; COUPLED KDV EQUATIONS; TANH-FUNCTION METHOD; BURGERS-EQUATION; EVOLUTION-EQUATIONS; SOLITARY WAVES;

D O I：

10.1016/j.camwa.2009.05.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper deals with families of non-trivial solutions of the equation (d/d xi omega)(2) = P omega(4)(xi) + Q omega(2)(xi) + R. On the basis of these solutions, a direct and generalized algebraic algorithm is described for constructing the new solutions of some nonlinear partial differential equations (NLPDEs). Subsequently, many new and more general exact solutions in terms of the Weierstrass elliptic function p (xi; g(2), g(3)) are obtained. The method can be applied to other NLPDEs in mathematical physics. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1725 / 1735

页数：11

共 32 条

[1] On the transverse instabilities of solitary waves [J].