This article is cited in 4 papers

On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities

A. V. Odesskii^ab, V. V. Sokolov<sup>a

a</sup> L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b University of Manchester, Department of Mathematics

Abstract: We consider a class of hydrodynamic type systems that have three independent and $N\ge 2$ dependent variables and possess a pseudopotential. It turns out that systems having a pseudopotential with movable singularities can be described by some functional equation. We find all solutions of this equation, which permits constructing interesting examples of integrable systems of hydrodynamic type for arbitrary $N$.

Keywords: integrable (2+1)-dimensional hydrodynamic type system, pseudopotential with movable singularities.

UDC: 517.95

Received: 18.02.2007

DOI: 10.4213/faa2912

 English version: Functional Analysis and Its Applications, 2008, 42:3, 205–212

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