New approach of (G′/G)-expansion method and new approach of generalized (G′/G)-expansion method for ZKBBM equation

Abstract

Abstract By means of two extended ( G ′/ G )-expansion methods, new approach of ( G ′/ G )-expansion method and new approach of generalized ( G ′/ G )-expansion method, we have successfully performed for analytical solutions on the Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation. In methods, the nonlinear auxiliary equation is implemented for constructing a rich class of new travelling wave solutions. Moreover, obtained solutions reveal that, these methods are very effective and powerful to handle various nonlinear evolution equations which frequently arise in mathematical physics, engineering sciences and many scientific real time application fields.