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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Detalles Bibliográficos
Autores: Konopelchenko, Boris, Martínez Alonso, Luis
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51653
Acceso en línea:https://hdl.handle.net/20.500.14352/51653
Access Level:acceso abierto
Palabra clave:51-73
Dispersionless Kp hierarchy
Hamiltonian-structure
Benney equations
Lax equations
Reductions
Limit
Física-Modelos matemáticos
Física matemática
Descripción
Sumario: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.