Non-travelling wave solutions of two (2 + 1)-dimensional nonlinear mathematical physics equations

The overall objective of this paper is to find and analyze the new nonlinear travelling wave solutions of two nonlinear mathematical physics equations: the (2 + 1)-dimensional Perturbed-KdV equation and the (2 + 1)-dimensional breaking soliton equation. In this paper, based on symbolic computation and the further improved F-expansion method, many new non-travelling wave solutions of the two equations are obtained and their properties are studied by analyzing their figures.