Jacobi-like elliptic function exact solutions of (3+1)-dimensional Zakharov-Kuznetsov equation

Abstract

Abstract:

Some new solutions of the first kind of elliptic equation and the formula of nonlinear superposition of the solutions are given. Combing the solutions with function transformation to construct Jacobi-like elliptic function exact solutions, a number of soliton-like solutions and triangular solutions of (3+1)-dimensional Zakharov-Kuznetsov equation with variable coefficients are given with the help of symbolic computation system Mathematica.

Key words: nonlinear equation, auxiliary equation method, formula of nonlinear superposition, function transformation, Jacobi elliptic function, exact solution

TAO Ge-Tu-Sang, SHI Ren-Dao-Er-Ji. Jacobi-like elliptic function exact solutions of (3+1)-dimensional Zakharov-Kuznetsov equation[J]. J4, 2010, 27(1): 6-14.

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