Theoretical and Mathematical Physics

, Volume 151, Issue 3, pp 820–830 | Cite as

Integrable semiclassical deformations of general algebraic curves and associated conservation laws

  • B. G. Konopelchenko
  • L. Martínez Alonso
  • E. Medina


Based on the Lenard relations, we completely classify integrable deformations of general algebraic curves. We construct the general solution of the Lenard relation from the invariance condition with respect to an element of the Galois group of the curve. We give some examples and also some associated conservation laws.


algebraic curve integrable system Lenard relation conservation law 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • B. G. Konopelchenko
    • 1
  • L. Martínez Alonso
    • 2
  • E. Medina
    • 3
  1. 1.Dipartimento di FisicaUniversità degli studi di Lecce, INFNLecceItaly
  2. 2.Departamento de Física Teórica IIUniversidad ComplutenseMadridSpain
  3. 3.Departamento de MatemáticasUniversidad de CádizCádizSpain

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