English

A Classification of Integrable Quasiclassical Deformations of Algebraic Curves

Exactly Solvable and Integrable Systems 2009-11-11 v1

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.

Keywords

Cite

@article{arxiv.nlin/0604048,
  title  = {A Classification of Integrable Quasiclassical Deformations of Algebraic Curves},
  author = {B. Konopelchenko and L. Martinez Alonso and E. Medina},
  journal= {arXiv preprint arXiv:nlin/0604048},
  year   = {2009}
}

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21 pages