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2003•Progress of Theoretical PhysicsRequires access

New Double Periodic Solutions for a Kind of Nonlinear Wave Equation

Hongyang Chen, H. Zhang

Open publisher page 3 citations

Abstract

A new generalized ansatz and Jacobi elliptic function expansion method are used to construct new double periodic solutions to nonlinear wave equations. The main idea of our method is to take full advantage of the elliptic equations satisfied by Jacobi elliptic functions and to use their solutions to replace Jacobi elliptic functions in the Jacobi elliptic function method. Some illustrative equations are investigated by this means.

About this research paper

What this paper is about

A new generalized ansatz and Jacobi elliptic function expansion method are used to construct new double periodic solutions to nonlinear wave equations. The main idea of our method is to take full advantage of the elliptic equations satisfied by Jacobi elliptic functions and to use their solutions to replace Jacobi elliptic functions in the Jacobi elliptic function method. Some illustrative equations are investigated by this means.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new generalized ansatz and Jacobi elliptic function expansion method are used to construct new double periodic solutions to nonlinear wave equations. The main idea of our method is to take full advantage of the elliptic equations satisfied by Jacobi elliptic functions and to use their solutions to replace Jacobi elliptic functions in the Jacobi elliptic function method. Some illustrative equations are investigated by this means.

Key concepts: Elliptic function, Jacobi elliptic functions, Ansatz, Elliptic integral, Nonlinear system, Jacobi method, Physics, Quarter period

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