Auto-B𝐚̈cklund Transformation for Travelling Wave Solutions of Some Nonlinear Partial Differential Equations

Abstract

In this paper, we implemented Auto-Bcklund transformation for finding the travelling wave solutions of the complexly coupled KdV equations and the sixth order equation of the Burgers hierarchy. These solutions are hyperbolic function solutions and exponential function solutions. The Auto- Bcklund transformation used in this article is a powerful method for finding traveling wave solutions of nonlinear partial differential equations.