Integrable semiclassical deformations of general algebraic curves and associated conservation laws |
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| Authors: | B G Konopelchenko L Martínez Alonso E Medina |
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| Institution: | (1) Dipartimento di Fisica, Università degli studi di Lecce, INFN, Sezione di Lecce, Lecce, Italy;(2) Departamento de Física Teórica II, Universidad Complutense, Madrid, Spain;(3) Departamento de Matemáticas, Universidad de Cádiz, Puerto Real, Cádiz, Spain |
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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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 458–469, June, 2007. |
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| Keywords: | algebraic curve integrable system Lenard relation conservation law |
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