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: | https://eprints.maths.manchester.ac.uk/id/eprint/793 |
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