A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential

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dc.creatorOdesskii, Alexander
dc.date2007-04-26
dc.date2007-06-01
dc.date.accessioned2026-07-07T08:09:15Z
dc.date.available2026-07-07T08:09:15Z
dc.descriptionWe construct a family of integrable hydrodynamic type systems with three independent and n>1 dependent variables in terms of solutions of linear system of PDEs with rational coefficients. We choose the existence of a pseudopotential as a criterion of integrability. In the case n=2 this family is a general solution of the classification problem for such systems. We give also an elliptic analog of this family in the case n>2.
dc.description16 pages, latex
dc.identifierhttps://arxiv.org/abs/0704.3577
dc.identifierhttp://arxiv.org/abs/0704.3577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131482
dc.subjectAnalysis of PDEs
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject17B80, 17B63, 32L81, 14H70
dc.titleA family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential
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