2003Acta Physica SinicaOpen access

A new application of Jacobi elliptic function expansion method

Zhang Shan-Qing, Zhibin Li, 华东师范大学计算机科学技术系,上海 200062

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Abstract

Nonlinear evolution equations are classified by introducing a concept of “rank”. A new application of the Jacobi elliptic function expansion method is given, and some exact periodic solutions of a new kind of nonlinear evolution equations are obtained.

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Nonlinear evolution equations are classified by introducing a concept of “rank”. A new application of the Jacobi elliptic function expansion method is given, and some exact periodic solutions of a new kind of nonlinear evolution equations are obtained.

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Available abstract

Nonlinear evolution equations are classified by introducing a concept of “rank”. A new application of the Jacobi elliptic function expansion method is given, and some exact periodic solutions of a new kind of nonlinear evolution equations are obtained.

Key concepts: Elliptic function, Jacobi elliptic functions, Jacobi method, Nonlinear system, Elliptic integral, Rank (graph theory), Applied mathematics, Theta function

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