On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities

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dc.creatorOdesskii, Alexander
dc.creatorSokolov, Vladimir
dc.date2007-02-08
dc.date2007-04-10
dc.date.accessioned2026-07-07T07:55:49Z
dc.date.available2026-07-07T07:55:49Z
dc.descriptionA certain class of integrable hydrodynamic type systems with three independent and N dependent variables is considered. We choose the existence of a pseudopotential as a criterion of integrability. It turns out that the class of integrable systems having pseudopotentials with movable singularities is described by a functional equation, which can be solved explicitly. This allows us to construct interesting examples of integrable hydrodynamic systems for arbitrary N.
dc.description12 pages, latex
dc.identifierhttps://arxiv.org/abs/math-ph/0702026
dc.identifierhttp://arxiv.org/abs/math-ph/0702026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127098
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.subject17B80, 17B63, 32L81, 14H70
dc.titleOn (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities
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