Study of the Improved Projective Approach and the Variable Separation Solutions in a (2+1)-Dimensional Soliton System

Abstract

The projective approach is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations, the remarkable characteristic of which is that we can have many different ansatzs and therefore, a large number of solutions. In this paper, with the help of the improved projective approach and a linear variable separation approach, some new variable separation solutions of the (2+1)-dimensional Generalized Calogero-Bogoyavlenskii-Schiff system (GCBS) is derived. … j i i y x x t u u u u P