Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions

W. Reinhardt; A. Khare; U. Sukhatme

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arXiv · math-ph/0212069

Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions

W. Reinhardt·A. Khare·U. Sukhatme

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Abstract

Using new generalized Landen transformations, we prove that the solutions of the KdV and other nonlinear equations obtained recently by using a kind of superposition principle for periodic solutions are in fact novel re-expressions of well known periodic one soliton solutions.

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W. Reinhardt, A. Khare, U. Sukhatme. 2002-12-24. Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions. https://arxiv.org/abs/math-ph/0212069

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