A note on Lax pairs of the Sawada-Kotera equation
Exactly Solvable and Integrable Systems
2014-08-26 v3 Mathematical Physics
math.MP
Abstract
We prove that the new Lax pair of the Sawada-Kotera equation, discovered recently by Hickman, Hereman, Larue, and Goktas, and the well-known old Lax pair of this equation, considered in the form of zero-curvature representations, are gauge equivalent to each other if and only if the spectral parameter is nonzero, while for zero spectral parameter a non-gauge transformation is required.
Keywords
Cite
@article{arxiv.1402.0127,
title = {A note on Lax pairs of the Sawada-Kotera equation},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:1402.0127},
year = {2014}
}
Comments
7 pages, final version, title changed, minor changes in section 2, acknowledgments added