New exact travelling wave solutions for some famous nonlinear partial differential equations using the improved tanh-function method

Abstract

The improved tanh-function method is a powerful tool for obtaining exact travelling wave solutions. The method is used for constructing exact travelling wave solutions and new kinds of solutions for the modified dispersive water wave equation, the Abrahams–Tsuneto reaction diffusion system, and for a class of reaction diffusion models. The solutions obtained are different from those reported in the literature.

Keywords:

• Tanh-function method
• Travelling wave solutions
• Reaction diffusion
• Modified dispersive water wave
• Abrahams–Tsuneto reaction diffusion system