Trivially Related Lax Pairs Of The Sawada-Kotera Equation

Abstract

We show that a recently introduced Lax pair of the Sawada-Kotera equation is not a new one but is trivially related to the known old Lax pair. Using the so-called trivial compositions of the old Lax pairs with a differentially constrained arbitrary operators, we give some examples of trivial Lax pairs of KdV and Sawada-Kotera equations.

To Appear in: The Bulletin of the Iranian Mathematical Society (BIMS)