A further improved extended Fan sub-equation method for (2+1)-dimensional breaking soliton equations

Abstract

In this paper, a further improved extended Fan sub-equation method is used to construct exact solutions of the (2+1)-dimensional breaking soliton equations. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained including soliton-like solutions, triangular-like solutions, single and combined non-degenerate Jacobi elliptic wave function-like solutions, Weierstrass elliptic doubly-like periodic solutions, each of which contains an arbitrary function of two variables. The results show the proposed method give new and more general exact solutions. More importantly, the method with the aid of symbolic computation provides a very effective and powerful mathematical tool for solving a great many non-linear partial differential equations in mathematical physics.