Travelling wave solutions for fractional Boussinesq equation using modified (G'/G) expansion method

摘要

In current study, modified (G'/G)-expansion method is applied to develop the travelling wave solutions for time-space-fractional Boussinesq (TSFB) equation. In this solution, modified Riemann-Liouville derivative will be used together with nonlinear fractional complex transformation. The transformation expression is applied to transform the nonlinear fractional equation into nonlinear ordinary differential equation (NODE). A variety of travelling wave solutions can be produced from this solution which is found to be applicable in physical sciences.