Geodesic
Integrable semiclassical deformations of general algebraic curves and associated conservation laws
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 458-469

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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.
Keywords: algebraic curve, integrable system, conservation law.
Mots-clés : Lenard relation 
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     title = {Integrable semiclassical deformations of general algebraic curves and associated conservation laws},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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B. G. Konopelchenko; L. Martínez Alonso; E. Medina. Integrable semiclassical deformations of general algebraic curves and associated conservation laws. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 458-469. http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a11/