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Título:
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Singular sector of the Kadomtsev–Petviashvili hierarchy, ?? operators of nonzero index, and associated integrable systems
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Autores:
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Konopelchenko, Boris ;
Martínez Alonso, Luis ;
Medina Reus, Elena
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Tipo de documento:
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texto impreso
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Editorial:
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American Institute of Physics, 2000-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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Integrable hierarchies associated with the singular sector of the Kadomtsev– Petviashvili (KP) hierarchy, or equivalently, with ?? operators of nonzero index are studied. They arise as the restriction of the standard KP hierarchy to submanifolds of finite codimension in the space of independent variables. For higher ?? index these hierarchies represent themselves as families of multidimensional equations with multidimensional constraints. The ?? -dressing method is used to construct these hierarchies. Hidden Korteweg–de Vries, Boussinesq, and hidden Gelfand–Dikii hierarchies are considered, too.
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En línea:
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https://eprints.ucm.es/34458/1/martinezalonso49libre.pdf
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