Classification of bi-Hamiltonian pairs extended by isometries
Maxim V. Pavlov, Pierandrea Vergallo, Raffaele Vitolo
Source record
Source: Crossref
Published: Jul 1, 2021
DOI: 10.1098/rspa.2021.0185
Open original source ↗Source abstract
The aim of this article is to classify pairs of the first-order Hamiltonian operators of Dubrovin–Novikov type such that one of them has a non-local part defined by an isometry of its leading coefficient. An example of such a bi-Hamiltonian pair was recently found for the constant astigmatism equation. We obtain a classification in the case of two dependent variables, and a significant new example with three dependent variables that is an extension of a hydrodynamic-type system obtained from a particular solution of the Witten–Dijkgraaf–Verlinde–Verlinde equations.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.