%0 Journal Article %A Konopelchenko, Boris %A Martínez Alonso, Luis %A Medina Reus, Elena %T A classification of integrable quasiclassical deformations of algebraic curves %D 2006 %@ 0305-4470 %U https://hdl.handle.net/20.500.14352/51642 %X A previously introduced scheme for describing integrable deformations 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. %~