2004Journal of Mathematical Research and ExpositionRequires access

On the Jacobi Elliptic Function Expansion Method

Hongqing Zhang

Open publisher page 4 citations

Abstract

The main idea of this method is to take full advantage of the elliptic equation that Jacobi elliptic functions satisfy and use its solutions to replace Jacobi elliptic functions in Jacobi elliptic function method. Some illustrative equations are investigated by this means.

About this research paper

What this paper is about

The main idea of this method is to take full advantage of the elliptic equation that Jacobi elliptic functions satisfy and use its solutions to replace Jacobi elliptic functions in Jacobi elliptic function method. Some illustrative equations are investigated by this means.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The main idea of this method is to take full advantage of the elliptic equation that Jacobi elliptic functions satisfy and use its solutions to replace Jacobi elliptic functions in Jacobi elliptic function method. Some illustrative equations are investigated by this means.

Key concepts: Jacobi elliptic functions, Elliptic function, Mathematics, Jacobi method, Quarter period, Elliptic integral, Elliptic rational functions, Jacobi operator

Related papers

Back to paper searchBrowse research topicsOriginal source
On the Jacobi Elliptic Function Expansion Method — Research Paper | ScholarLens