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2007.76: On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities

2007.76: Alexander Odesskii and Vladimir Sokolov (2007) On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities.

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Abstract

A certain class of integrable hydrodynamic type systems with three independent and N>1 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.

Item Type:MIMS Preprint
Subjects:MSC 2000 > 35 Partial differential equations
MIMS number:2007.76
Deposited By:Dr Alexander Odesskii
Deposited On:02 May 2007

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