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

Alexander Odesskii·Vladimir Sokolov
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Abstract

A 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.

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Alexander Odesskii, Vladimir Sokolov. 2007-04-10. On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities. https://arxiv.org/abs/math-ph/0702026

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