Travelling wave solutions to some time–space nonlinear evolution equations

摘要

In this article, the modified direct algebraic method has been extended to celebrate the new complex travelling wave solutions of nonlinear evolution equations of fractional order. For finding solutions, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential equations into nonlinear ordinary differential equations. After this, the modified direct algebraic method has been applied successfully, to construct the complex travelling wave solutions. As far as concerned about the applications, the nonlinear time–space fractional KdV, foam drainage and coupled burgers’ equations of fractional order have been considered.