Abstract
It has been proved by Sokolov that Krichever–Novikov equation's hierarchy is hamiltonian for the Hamiltonian operator H0=ux∂−1ux and possesses two weakly non-local recursion operators of degrees 4 and 6, L4 and L6. We show here that H0, L4H0 and L6H0 are compatible Hamiltonians operators for which the Krichever–Novikov equation's hierarchy is hamiltonian.
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Schedule a callMore From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
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