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Integrable semiclassical deformations of general algebraic curves and associated conservation laws
B. G. Konopelchenkoa, L. Martínez Alonsob, E. Medinac a Lecce University
b Universidad Complutense, Departamento de Fisica Teorica II
c Universidad de Cadiz
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.
Keywords:
algebraic curve, integrable system, Lenard relation, conservation law.
Citation:
B. G. Konopelchenko, L. Martínez Alonso, E. Medina, “Integrable semiclassical deformations of general algebraic curves and associated conservation laws”, TMF, 151:3 (2007), 458–469; Theoret. and Math. Phys., 151:3 (2007), 820–830
Linking options:
https://www.mathnet.ru/eng/tmf6059https://doi.org/10.4213/tmf6059 https://www.mathnet.ru/eng/tmf/v151/i3/p458
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Abstract page: | 512 | Full-text PDF : | 206 | References: | 82 | First page: | 4 |
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