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Non-homogeneous Systems of Hydrodynamic Type Possessing Lax Representations

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Abstract

We consider 1 + 1-dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a wide class of examples of such systems with an arbitrary number of components. In the two-component case a classification is given.

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Authors and Affiliations

  1. Department of Mathematics, Brock University, 500 Glenridge Ave., St. Catharines, Ontario, L2S 3A1, Canada

    A. V. Odesskii

  2. L.D. Landau Institute for Theoretical Physics, Kosygina Str. 2, Moscow, 117334, Russia

    V. V. Sokolov

Authors
  1. A. V. Odesskii
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  2. V. V. Sokolov
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Correspondence to V. V. Sokolov.

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Communicated by N. A. Nekrasov

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Odesskii, A.V., Sokolov, V.V. Non-homogeneous Systems of Hydrodynamic Type Possessing Lax Representations. Commun. Math. Phys. 324, 47–62 (2013). https://doi.org/10.1007/s00220-013-1787-x

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  • DOI: https://doi.org/10.1007/s00220-013-1787-x

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