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2009•jOURNAL OF southwest University for NationalitiesRequires access

A new exact solutions to Zakharov equation

Zhengde Dai

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Abstract

The algebraic method, based on the symbolic computation, has been applied to study new traveling wave solutions for Zakharov equations by means of Epsilon package in Maple. More new explicit travelling wave solutions are obtained, which contain solitons, hyperbola function solutions and triangular periodic solutions. This article gets the hyperbola function solutions and triangular periodic solutions of Zakharov equations by using F-expansion method.

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What this paper is about

The algebraic method, based on the symbolic computation, has been applied to study new traveling wave solutions for Zakharov equations by means of Epsilon package in Maple. More new explicit travelling wave solutions are obtained, which contain solitons, hyperbola function solutions and triangular periodic solutions. This article gets the hyperbola function solutions and triangular periodic solutions of Zakharov equations by using F-expansion method.

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Available abstract

The algebraic method, based on the symbolic computation, has been applied to study new traveling wave solutions for Zakharov equations by means of Epsilon package in Maple. More new explicit travelling wave solutions are obtained, which contain solitons, hyperbola function solutions and triangular periodic solutions. This article gets the hyperbola function solutions and triangular periodic solutions of Zakharov equations by using F-expansion method.

Key concepts: Hyperbola, Traveling wave, Maple, Mathematics, Symbolic computation, Computation, Algebraic number, Function (biology)

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