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

Odesskii, Alexander and Sokolov, Vladimir (2007) On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities. [MIMS Preprint]

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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 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations
Depositing User: Dr Alexander Odesskii
Date Deposited: 02 May 2007
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/793

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