Soliton solutions for the Kundu-Eckhaus equation with the aid of unified algebraic and auxiliary equation expansion methods

Abstract

The modified unified algebraic (MUA) and auxiliary equation expansion (AEE) methods are applied to reach the different type soliton solutions of Kundu-Eckhaus (K-E) equation. It is illustrated that MUA and AEE are very effective methods to reach the various types of the solutions of nonlinear evolution equations.