new soliton-like solution of the Generalized Zakharov-Kuzentsov equation

Abstract

Abstract:

By two steps, the paper structures the new infinite sequence soliton-like solution of the Generalized Zakharov-Kuzentsov equation. First, using the trick of the first integral and functional transformation, a kind of nonlinear ordinary differential equation is changed to some kinds of common auxiliary equations, and the new solutions of some common auxiliary equations, the Bäcklund transformation and the nonlinear superposition formula of solutions are obtained. Second, with the help of a sequence of transformations and the symbolic computation system Mathematic, the paper structures the new infinite sequence soliton-like solution of the Generalized Zakharov-Kuzentsov equation.

Key words: auxiliary equations first integral new soliton-like solution

Taogetusang, Yi LiNa. new soliton-like solution of the Generalized Zakharov-Kuzentsov equation[J]. J4, 2015, 32(3): 290-300.

References

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