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arXiv · 1601.03245

Equivalent of the elliptic function solutions of nonlinear differential equations

Dong-hua Luo·Cheng-qun Pang
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Abstract

In this paper, we point out that many Jacobi elliptic function solutions to non-linear differential equation(NDE) can be transformed each other via the modulus and phase transformation of Jacobi elliptic function. Therefore these solutions are equivalent. We investigate equivalent of the Jacobi elliptic function solutions of Korteweg-de Vries (mKdV) equation as a example.

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Dong-hua Luo, Cheng-qun Pang. 2015-12-12. Equivalent of the elliptic function solutions of nonlinear differential equations. https://arxiv.org/abs/1601.03245

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