A note on Lax pairs of the Sawada-Kotera equation
arXiv:1402.0127 · doi:10.1155/2014/906165
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.
7 pages, final version, title changed, minor changes in section 2, acknowledgments added