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A Classification of Integrable Quasiclassical Deformations of Algebraic Curves

B. Konopelchenko·L. Martinez Alonso·E. Medina
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Abstract

A previously introduced scheme for describing integrable deformations of 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.

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B. Konopelchenko, L. Martinez Alonso, E. Medina. 2006-04-21. A Classification of Integrable Quasiclassical Deformations of Algebraic Curves. https://doi.org/10.1088/0305-4470%2F39%2F36%2F008

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