The Riccati Equation Mapping Method for Solving Nonlinear Partial Differential Equations in Mathematical Physics

Abstract

In this article, many new exact solutions of the (2+1)-dimensional nonlinear Boussinesq-Kadomtsev-Petviashvili equation and the (1+1)-dimensional nonlinear heat conduction equation are constructed using the Riccati equation mapping method. By means of this method, many new exact solutions are successfully obtained. This method can be applied to many other nonlinear evolution equations in mathematical physics. doi:10.14456/WJST.2014.14

Keywords

• The Riccati equation mapping method
• the (2 1)-dimensional nonlinear Boussinesq-Kadomtsev-Petviashvili equation
• the (1 1)-dimensional nonlinear heat conduction equation
• exact solutions