Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation

Abstract

This paper deals with the so-called Exp-function method for studying a particular nonlinear partial differential equation (PDE): the (2+1)-dimensional Boiti–Leon–Pempinelli equation. The method is constructive and can be carried out in a computer with the aid of a computer algebra system. The obtained generalized solitary wave solutions contain more arbitrary parameters compared with the earlier works, and thus, they are wider. This means that our method is effective and powerful for constructing exact and explicit analytic solutions to nonlinear PDEs.

Keywords:

• Exp-function method
• (2+1)-dimensional Boiti–Leon–Pempinelli equation
• solitary wave solutions

2000 AMS Subject Classifications :

• 35Q53
• 35Q51
• 35C05