2004•Chinese PhysicsOpen access

General Jacobian elliptic function expansion method and its applications

Zhu Jia-Min, Zheng-Yi Ma, Jian-Ping Fang, Zheng Chun-Long, Zhang Jie-Fang

Abstract

An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear Schrödinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al 's results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to other nonlinear physics systems.

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Key concepts: Jacobian matrix and determinant, Elliptic function, Nonlinear system, Jacobi elliptic functions, Elliptic integral, Quarter period, Function (biology), Applied mathematics