Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions
arXiv:math-ph/0212069
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.
4 pages, 0 figures