2010•Journal of Huaiyin Institute of TechnologyRequires access

Exact Solutions of Zakharov Equations

Dianchen Lu

Abstract

In this paper,generalized traditional Jacobian elliptic function expansion method is introduced.ith the aid of mathematica software,we obtained some new exact solutions of nonlinear Zakharov equations by using generalized Jacobian elliptic function expansion method,including double-periodic solution and solitary wave solution.In addition,the solitary wave solutions of Zakharov equations are discussed.

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Key concepts: Elliptic function, Jacobian matrix and determinant, Mathematics, Jacobi elliptic functions, Periodic wave, Nonlinear system, Mathematical analysis, Function (biology)