Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type

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Si-Qi Liu , Youjin Zhang This is my paper · ORCID

classification math.DG

keywords bihamiltoniandeformationshydrodynamicsemisimplestructurestypeclassifyinfinitesimal

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We classify in this paper infinitesimal quasitrivial deformations of semisimple bihamiltonian structures of hydrodynamic type.

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Compatible pairs of Hamiltonian operators of the first and third orders
nlin.SI 2026-02 conditional novelty 7.0 of 10

Compatibility of a first-order weakly nonlocal Hamiltonian operator with a third-order Hamiltonian operator is equivalent to algebraic equations, with the first-order metric fixed by a structure formula in terms of Ha...