A classification of integrable quasiclassical deformations of algebraic curves

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 g...

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Detalhes bibliográficos
Autores: Konopelchenko, Boris, Martínez Alonso, Luis, Medina Reus, Elena
Formato: artículo
Fecha de publicación:2006
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51642
Acesso em linha:https://hdl.handle.net/20.500.14352/51642
Access Level:acceso abierto
Palavra-chave:51-73
Hierarchy
Física-Modelos matemáticos
Física matemática
Descrição
Resumo: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.