Compatible Hamiltonian Operators for the Krichever-Novikov Equation
Analysis of PDEs
2017-05-16 v1
Abstract
It has been proved by V. Sokolov that the Krichever-Novikov equation's hierarchy is hamiltonian for the non-local Hamiltonian operator H_0=u_x D^{-1} u_x and possesses twi weakly non-local recursion operatos of degree 4 and 6, L_4 and L_6. We show here that H_0, L_4H_0 and L_6H_0 are compatible Hamiltonian operators for which the Krichever-Novikov equation's hierarchy is hamiltonian.
Keywords
Cite
@article{arxiv.1705.04834,
title = {Compatible Hamiltonian Operators for the Krichever-Novikov Equation},
author = {Sylvain Carpentier},
journal= {arXiv preprint arXiv:1705.04834},
year = {2017}
}