A classification of integrable quasiclassical deformations of algebraic curves

Konopelchenko, BorisMartínez Alonso, LuisMedina Reus, Elena2023-06-202023-06-202006-08-080305-447010.1088/0305-4470/39/36/008https://hdl.handle.net/20.500.14352/51642©IOP Publishing . The authors wish to thank Prof. Y. Kodama for his interest and help during the elaboration of this work.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.engA classification of integrable quasiclassical deformations of algebraic curvesjournal articlehttp://dx.doi.org/10.1088/0305-4470/39/36/008http://iopscience.iop.orghttp://arxiv.org/abs/nlin/0604048open access51-73HierarchyFísica-Modelos matemáticosFísica matemática