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A note on Lax pairs of the Sawada-Kotera equation (1402.0127v3)
Published 1 Feb 2014 in nlin.SI, math-ph, and 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.