Soliton solution of Generalized Zakharov-Kuznetsov and ZakharovKuznetsov-Benjamin-Bona-Mahoney equations with conformable temporal evolution

Abstract

In this paper, we proposethe method of functional variable for finding soliton solutions of two practical problems arising in electronics, namely, the conformable time-conformable Generalized Zakharov-Kuznetsov equation (GZKE) and the conformable time-conformable Generalized Zakharov-Kuznetsov-Benjamin-BonaMahoney equation (GZK-BBM). The soliton solutions are expressed by two types of functions which are hyperbolic and trigonometric functions. Implemented method is more effective, powerful and straightforward to construct the soliton solutions for nonlinear conformable time-conformable partial differential equations.