Auxiliary Function Method for Nonlinear Partial Differential Equations

Haiming Fu^1, and Zhengde Dai²

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

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

Cite this paper:
Haiming Fu and 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

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:
reaction-diffusion equation BBM-Burgers equation auxiliary function method exact solutions

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