Integrable quasiclassical deformations of algebraic curves

A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. The method is illustrated with the analysis of the hyperelliptic case. An associated multi-Hamiltonian hierarchy of systems of hydrodynamic type is character...

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Detalhes bibliográficos
Autores: Konopelchenko, Boris, Martínez Alonso, Luis
Formato: artículo
Fecha de publicación:2004
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51653
Acesso em linha:https://hdl.handle.net/20.500.14352/51653
Access Level:acceso abierto
Palavra-chave:51-73
Dispersionless Kp hierarchy
Hamiltonian-structure
Benney equations
Lax equations
Reductions
Limit
Física-Modelos matemáticos
Física matemática
Descrição
Resumo:A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. The method is illustrated with the analysis of the hyperelliptic case. An associated multi-Hamiltonian hierarchy of systems of hydrodynamic type is characterized.