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

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

2002-12-24

arxiv.org/abs/math-ph/0212069v1

Physics

Mathematical Physics

4 pages, 0 figures

Scientific paper

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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