Trivially related lax pairs of the Sawada-Kotera equation

Document Type : Research Paper

Author

Sama Technical and Vocational Training College, Islamic Azad university, Urmia Branch, Urmia, Iran.

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.

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