Some extensions of Zakharov–Kuznetsov equations and their Gaussian solitary wave solutions

Abstract

In this paper, first we introduce four novel extensions of Zakharov–Kuznetsov equations which are their logarithmic forms. Then, we investigate the new logarithmic equations for their Gaussian solitary waves. After that, we obtain Gaussian solitons for all models. We show that all logarithmic models are characterized by their Gaussian solitary waves. These extensions can conduct interested researchers to obtain logarithmic extensions for another equations. Besides, the presented Gaussian solitary waves can be useful both mathematically and physically.