Exact travelling wave solutions for a generalized Zakharov–Kuznetsov equation

摘要

In this paper, by means of a proper transformation and symbolic computation, we study the exact travelling wave solutions for a generalized Zakharov–Kuznetsov (GZK) equation by using the extended-tanh method and direct assumption method. As a result, rich exact travelling wave solutions, which contain new kink-shaped solitons, bell-shaped solitons, periodic solutions, combined formal solitons, rational solutions and singular solitons for GZK equation, are obtained.