Nonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations

dc.creatorGrinevich, P. G.
dc.date1995-09-13
dc.date.accessioned2026-07-07T09:17:49Z
dc.date.available2026-07-07T09:17:49Z
dc.descriptionIn our paper we construct a new infinite family of symmetries of the Whitham equations (averaged Korteveg-de-Vries equation). In contrast with the ordinary hydrodynamic-type flows these symmetries are nonhomogeneous (i.e. they act nontrivially at the constant solutions), are nonlocal, explicitly depend upon space and time coordinates and form a noncommutative algebra, isomorphic to the algebra of the polynomial vector fields in the complex plane (Virasoro algebra with the zero central charge).
dc.identifierhttps://arxiv.org/abs/solv-int/9509004
dc.identifierhttp://arxiv.org/abs/solv-int/9509004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153806
dc.subjectExactly Solvable and Integrable Systems
dc.titleNonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations
dc.typetext

Files

Collections