Further extension of the generalized and improved (G'/G)-expansion method for nonlinear evolution equation

Abstract

In this article, the generalized and improved (G0/G)-expansion method has been pro-posed for further extension to generate many new travelling wave solutions. In addition, nonlinearordinary differential equation is implemented as auxiliary equation including many parametersinstead of linear ordinary differential equation. Moreover, the presentation of the travelling wavesolutions is quiet new. The effectiveness and reliability of the method are shown by its applicationto the Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation. Some of our generatedsolutions turned into some known solutions, when parameters consider specific values and othersare new.