A Classification of Integrable Quasiclassical Deformations of Algebraic Curves

Details A Classification of Integrable Quasiclassical Deformations of Algebraic Curves A Classification of Integrable Quasiclassical Deformations of Algebraic Curves

2006-04-21

arxiv.org/abs/nlin/0604048v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages

Scientific paper

10.1088/0305-4470/39/36/008

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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