On soliton solutions of the (2 + 1) dimensional Boussinesq equation

摘要

The repeated homogeneous balance method is used to construct exact traveling wave solutions of the (2 + 1) dimensional Boussinesq equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. Many new exact traveling wave solutions are successfully obtained. This method is straightforward and concise, and it can be also applied to other nonlinear evolution equations.