New Exact Solutions For Chaffee- Infante Equations Using (G0/G)-Expansion Method, Hyperbolic Tangent Method And Kudryashov Method.

Abstract

This paper aims to solve (1+1) and (2+1) dimensional Chaffee-Infante equations by (G'/G)-expansion method, Hyperbolic tangent method (Tanh method) and Kudryashov method in order to find the new traveling wave solutions. For solving the equations, the nonlinear partial differential equations (NPDEs) have to be transformed to the ordinary differential equations (ODEs) by using each methods. As the result, there are three traveling wave solutions such as kink wave, periodic wave and solitary wave which are discovered by the (G'/G)-expansion method. As for, both the Tanh method and Kudryashov method exactly construct the close form of kink wave solutions. Especially, all the graphs of the results show that these analytical methods effectively provide further wave solutions to resolve problems in mathematical physics.