On the Jacobi Elliptic Function Expansion Method
Hongqing Zhang
Abstract
Hongqing Zhang
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.
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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