Equivalent of the elliptic function solutions of nonlinear differential equations

2015/12/12 by Dong-hua Luo, Luo, Dong-hua, Cheng-qun Pang +1
Mathematics · #34G20 #FOS: Mathematics #G.1.7 #General Mathematics (math.GM) #acm:34G20 #math.GM #msc:34G20

paper · pdf · doi:10.48550/arxiv.1601.03245

12 pages

arxiv created 2015/12/12 · arxiv updated 2016/01/14

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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