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

Article

Abstract

We consider a class of hydrodynamic type systems that have three independent and N ⩾ 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.

Key words

integrable (2+1)-dimensional hydrodynamic type system pseudopotential with movable singularities 

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsMoscowRussia
  2. 2.School of MathematicsThe University of ManchesterMoscowRussia

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