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E.G. Fan, Phys. Lett. A, 277 (2000) 212.

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Article

Auxiliary Function Method for Nonlinear Partial Differential Equations

1Department of Basic Courses, Guangzhou Hua Xia Technical College, Guangzhou,, PR China

2Department of Mathematics, Yunnan University, Kunming, PR Chin


International Journal of Partial Differential Equations and Applications. 2013, Vol. 1 No. 1, 1-5
DOI: 10.12691/ijpdea-1-1-1
Copyright © 2013 Science and Education Publishing

Cite this paper:
Haiming Fu, Zhengde Dai. Auxiliary Function Method for Nonlinear Partial Differential Equations. International Journal of Partial Differential Equations and Applications. 2013; 1(1):1-5. doi: 10.12691/ijpdea-1-1-1.

Correspondence to: Haiming Fu, Department of Basic Courses, Guangzhou Hua Xia Technical College, Guangzhou,, PR China. Email: haimingfu@163.com

Abstract

A new auxiliary function method is given, and some exact solutions of the auxiliary function are given too. As an example, Reaction-diffusion equation and BBM-Burgers equation are solved. Obviously, the auxiliary function method can be applied to solve other type of nonlinear partial differential equations as well.

Keywords