A new algebra method for constructing exact solutions of nonlinear evolution equations

Abstract

Abstract:

A new algebra method for constructing exact solutions of nonlinear evolution equations is proposed based on the auxiliary equation; the method is simple and universal. It can give various types of exact solutions according to different parameters, which will be helpful to seek more new exact solutions and explore properties of nonlinear evolution equations. As an application, many kinds of explicit solutions including Jacobi and Weierstrass elliptic function solutions etc are obtained, some of which are new.

Key words: nonlinear equation, exact solution, auxiliary equation, mkdv equation

CLC Number:

O175

QIU Chun, DIAO Ming-jun, XU Lan-lan, YUE Shu-bo, ZHAO Jing. A new algebra method for constructing exact solutions of nonlinear evolution equations[J]. J4, 2012, 29(3): 279-285.

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