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Research Article Open access CC BY 3.0

Complexiton Solutions of Nonlinear Partial Differential Equations Using a New Auxiliary Equation

Xue Liu, Huai-tang Chen, Shu-huan Yang

Journal of Advances in Mathematics and Computer Science · pp. 1815–1826 · Published 18 May 2014

10.9734/BJMCS/2014/10220

Abstract

In this paper, a novel auxiliary equation: φ′′ = a + bφ + cφ3 which has mutiple function solutions including trigonometric function, hyperbolic function and other functions, is considered. It is applied to a series of partial differential equations easily and   effectively. It helps physicists to obtain complexiton solutions of nonlinear partial equations and analyze special phenomena accurately in their fields.

Complexiton solution Riccati equation Partial differential equation

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