LAUSR

The nonlinear Schrodinger equation is widely studied in physics, mathematics and engineering [1-9], which is a nonlinear parabolic partial differential equation, and it is difficult to solve it explicitly, though there are many analytical methods available in literature to have an approximate solution, such as the variational iteration method[10,11], the homotopy perturbation[12,13], the variational approach[14-20], and the others, a complete review on various analytical methods is available in the review articles[21]. An explicit and exact solution is much needed in practical applications, this paper adopts the exp-function method for this purpose.