Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions
Mathematical Physics
2007-05-23 v1 math.MP
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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Cite
@article{arxiv.math-ph/0212069,
title = {Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions},
author = {W. Reinhardt and A. Khare and U. Sukhatme},
journal= {arXiv preprint arXiv:math-ph/0212069},
year = {2007}
}
Comments
4 pages, 0 figures