An application of exp-function method to approximate general and explicit solutions for nonlinear Schrödinger equations

Abstract

In this work, we implement a relatively new analytical technique, the exp-function method, for solving nonlinear equations and absolutely a special form of generalized nonlinear Schrödinger equations, which may contain high-nonlinear terms. This method can be used as an alternative to obtain analytical and approximate solutions of different types of fractional differential equations, which is applied in engineering mathematics. Some numerical examples are presented to illustrate the efficiency and the reliability of exp-function method. It is predicted that exp-function method can be found widely applicable in engineering. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1016–1025, 2011