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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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|
|Deposited By:||Dr Alexander Odesskii|
|Deposited On:||02 May 2007|