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Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation. (English) Zbl 1037.35070
Summary: 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.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
37K40Soliton theory, asymptotic behavior of solutions
35-04Machine computation, programs (partial differential equations)
68W30Symbolic computation and algebraic computation