Symbolic computation and construction of exact travelling wave solutions to (2+1)-dimensional GMKPI equation

Abstract

In this paper, the auxiliary equation method is used to seek exact solutions of a (2+1)-dimensional nonlinear soliton equation(GMKPI). As a result, some traveling wave solutions are successfully obtained with the aid of symbolic computation. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.