Compatible Hamiltonian Operators for the Krichever-Novikov Equation
Carpentier, Sylvain
Original · EN
It has been proved by V. Sokolov that the Krichever-Novikov equation's hierarchy is hamiltonian for the non-local Hamiltonian operator H₀=uₓ D⁻¹ uₓ and possesses twi weakly non-local recursion operatos of degree 4 and 6, L₄ and L₆. We show here that H₀, L₄H₀ and L₆H₀ are compatible Hamiltonian operators for which the Krichever-Novikov equation's hierarchy is hamiltonian.
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