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/2014/10220Abstract
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.
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