A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations

doi:10.1088/1674-1056/17/11/007

中国物理B ›› 2008, Vol. 17 ›› Issue (11): 3974-3984.doi: 10.1088/1674-1056/17/11/007

A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations

陆斌, 张鸿庆

Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, China

收稿日期:2008-02-28 修回日期:2008-04-23 出版日期:2008-11-20 发布日期:2008-11-20
基金资助:
Project supported by the State Key Program for Basic Research of China (Grant No 2004CB318000).

A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations

Lu Bin (陆斌), Zhang Hong-Qing (张鸿庆)

Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, China

Received:2008-02-28 Revised:2008-04-23 Online:2008-11-20 Published:2008-11-20
Supported by:
Project supported by the State Key Program for Basic Research of China (Grant No 2004CB318000).

摘要/Abstract

摘要： In this paper, a new auxiliary equation method is presented of constructing more new non-travelling wave solutions of nonlinear differential equations in mathematical physics, which is direct and more powerful than projective Riccati equation method. In order to illustrate the validity and the advantages of the method, (2+1)-dimensional asymmetric Nizhnik--Novikov--Vesselov equation is employed and many new double periodic non-travelling wave solutions are obtained. This algorithm can also be applied to other nonlinear differential equations.

Abstract: In this paper, a new auxiliary equation method is presented of constructing more new non-travelling wave solutions of nonlinear differential equations in mathematical physics, which is direct and more powerful than projective Riccati equation method. In order to illustrate the validity and the advantages of the method, (2+1)-dimensional asymmetric Nizhnik--Novikov--Vesselov equation is employed and many new double periodic non-travelling wave solutions are obtained. This algorithm can also be applied to other nonlinear differential equations.

Key words: nonlinear partial differential equations, non-travelling wave solutions, asymmetric Nizhnik--Novikov--Vesselov equation

中图分类号: (Solitons)

05.45.Yv

02.30.Jr (Partial differential equations)

陆斌, 张鸿庆. A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations[J]. 中国物理B, 2008, 17(11): 3974-3984.

Lu Bin (陆斌), Zhang Hong-Qing (张鸿庆). A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations[J]. Chin. Phys. B, 2008, 17(11): 3974-3984.

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A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations

A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations

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