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A new construction of recursion operators for systems of the hydrodynamic type

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Abstract

We consider a certain class of two-dimensional systems of the hydrodynamic type that contains all examples known to us and can be associated with a class of linear wave equations possessing an algebra of ladder operators. We use this to give a simple construction of recursion operators for these systems, not always coinciding with those of Sheftel and Teshukov.

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Authors and Affiliations

  1. Department of Applied Mathematics and Centre for Nonlinear Studies, University of Leeds, UK

    A. P. Fordy

  2. Department of Applied Mathematics and Centre for Nonlinear Studies, University of Leeds, UK

    T. B. Gürel

  3. Department of Mathematics, Bilkent University, Ankara, Turkey

    T. B. Gürel

Authors
  1. A. P. Fordy
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  2. T. B. Gürel
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 122, No. 1, pp. 37–49, January, 1999.

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Fordy, A.P., Gürel, T.B. A new construction of recursion operators for systems of the hydrodynamic type. Theor Math Phys 122, 29–38 (2000). https://doi.org/10.1007/BF02551167

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  • DOI: https://doi.org/10.1007/BF02551167

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