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A classification of integrable quasiclassical deformations of algebraic curves*

B Konopelchenko1, L Martínez Alonso2 and E Medina3

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A previously introduced scheme for describing integrable deformations of algebraic curves is completed. Lenard relations are used to characterize and classify these deformations in terms of hydrodynamic-type systems. A general solution of the compatibility conditions for consistent deformations is given and expressions for the solutions of the corresponding Lenard relations are provided.


Footnote
*  Partially supported by MEC project FIS2005-00319 and by the grant COFIN 2004 'Sintesi'.
PACS

02.30.Ik Integrable systems

02.30.Lt Sequences, series, and summability

02.40.-k Geometry, differential geometry, and topology

02.10.De Algebraic structures and number theory

MSC

14H70 Relationships with integrable systems

14H05 Algebraic functions; function fields (See also 11R58)

Subjects

Mathematical physics

Dates

Issue 36 (8 September 2006)

Received 20 February 2006, in final form 14 July 2006

Published 18 August 2006



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