Título:
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S-functions, reductions and hodograph solutions of ther-th dispersionless modified KP and Dym hierarchies
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Autores:
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Mañas Baena, Manuel
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Tipo de documento:
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texto impreso
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Editorial:
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IOP Publishing, 2004-11-12
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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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We introduce an S-function formulation for the recently found rth dispersionless modified KP and rth dispersionless Dym hierarchies, giving also a connection of these S-functions with the Orlov functions of the hierarchies. Then, we discuss a reduction scheme for the hierarchies that together with the S-function formulation leads to hodograph systems for the associated solutions. We consider also the connection of these reductions with those of the dispersionless KP hierarchy and with hydrodynamic-type systems. In particular, for the one-component and two-component reduction we derive, for both hierarchies, ample sets of examples of explicit solutions.
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En línea:
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https://eprints.ucm.es/id/eprint/32555/1/ma%C3%B1as13preprint.pdf
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