A Note on Lax Pairs of the Sawada-Kotera Equation

Sergei Sakovich

Journal of Mathematics, 2014, vol. 2014, 1-4

Abstract:

We prove that the new Lax pair of the Sawada-Kotera equation, discovered recently by Hickman, Hereman, Larue, and Göktaş, 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 nongauge transformation is required.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:906165

DOI: 10.1155/2014/906165

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