Exact solutions of some nonlinear evolution equations via the first integral method

Abstract

The first integral method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this work, we explore new application of this method to some special nonlinear partial differential equations. By means of this method, the exact solutions of the B(n,n) equation and the generalized sine-Gordon equation and a kind of nonlinear reaction–diffusion equation and generalized form of the double sinh-Gordon equation are obtained.

Keywords

• First integral method
• B(n,n) equation
• Generalized sine-Gordon equation
• Nonlinear reaction–diffusion equation
• Generalized form of the double sinh-Gordon equation