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arxiv: 1407.0529 · v2 · pith:UGYPNCKKnew · submitted 2014-07-02 · 🌊 nlin.SI · math-ph· math.CA· math.MP

Trivially Related Lax Pairs Of The Sawada-Kotera Equation

classification 🌊 nlin.SI math-phmath.CAmath.MP
keywords pairssawada-koteraequationpairrelatedtrivialtriviallyarbitrary
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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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