Integrable semiclassical deformations of general algebraic curves and associated conservation laws

Author: Konopelchenko B.  

Publisher: Springer Publishing Company

ISSN: 0040-5779

Source: Theoretical and Mathematical Physics, Vol.151, Iss.3, 2007-06, pp. : 820-830

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Abstract

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.