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Título:
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Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical ?? -dressing method
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Autores:
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Konopelchenko, Boris ;
Martínez Alonso, Luis
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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, 2002-07
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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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The quasiclassical limit of the scalar nonlocal ?? -problem is derived and a quasiclassical version of the ??-dressing method is presented. Dispersionless Kadomtsev– Petviashvili (KP), modified KP, and dispersionless two- dimensional Toda lattice (2DTL) hierarchies are discussed as illustrative examples. It is shown that the universal Whitham hierarchy is nothing but the ring of symmetries for the quasiclassical ??-problem. The reduction problem is discussed and, in particular, the d2DTL equation of B type is derived.
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En línea:
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https://eprints.ucm.es/34420/1/martinezalonso41libre.pdf
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