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

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.