Abstract

In this article, the extended coupled sub-equations expansion method was used to construct a series of double soliton-like solutions, double triangular function solitons and complexiton solitons for some nonlinear partial differential equations (NLPDEs) via the (2+1)-dimensional breaking soliton equations and the (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. With the help of symbolic computation as Maple, we obtain many types of double soliton solutions as various combinations of trigonometric periodic function and hyperbolic function, various combinations of trigonometric periodic function and rational function, various combination of hyperbolic function and rational function.

Key words: The extended coupled sub-equations expansion method, double soliton-like solutions, double triangular function solutions, complexiton soliton solutions, the (2+1)-dimensional breaking soliton equations, the (2+1)-dimensional Nizhnik-Novikov- Vesselov equations.