Título:
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The multicomponent 2D Toda hierarchy: discrete flows and string equations
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Autores:
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Mañas Baena, Manuel ;
Martínez Alonso, Luis ;
Álvarez Fernández, Carlos
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Tipo de documento:
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texto impreso
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Editorial:
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IOP Publishing, 2009-06
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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 multicomponent 2D Toda hierarchy is analyzed through a factorization problem associated with an infinite-dimensional group. A new set of discrete flows is considered and the corresponding Lax and Zakharov-Shabat equations are characterized. Reductions of block Toeplitz and Hankel bi-infinite matrix types are proposed and studied. Orlov-Schulman operators, string equations and additional symmetries (discrete and continuous) are considered. The continuous-discrete Lax equations are shown to be equivalent to a factorization problem as well as to a set of string equations. A congruence method to derive site-independent equations is presented and used to derive equations in the discrete multicomponent KP sector (and also for its modification) of the theory as well as dispersive Whitham equations.
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En línea:
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https://eprints.ucm.es/id/eprint/32441/1/ma%C3%B1as10preprint.pdf
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