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Título:
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AKNS hierarchy, self-similarity, string equations and the Grassmannian
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Autores:
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Guil Guerrero, Francisco ;
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 ltd, 1994-03-21
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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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In this paper the Galilean, scaling and translational self-similarity conditions for the AKNS hierarchy are analysed geometrically in terms of the infinite-dimensional Grassmannian. The string equations of the one-matrix model correspond to the Galilean self-similarity condition for this hierarchy. We describe, in terms of the initial data for the zero-curvature 1 -form of the AKNS hierarchy, the moduli space of these self-similar solutions in the Sato Grassmannian. As a by-product we characterize the points in the Segal-Wilson Grassmannian corresponding to the Sachs rational solutions of the AKNS equation and to the Nakamura-Hirota rational solutions of the NLS equation.
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En línea:
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https://eprints.ucm.es/id/eprint/32527/1/ma%C3%B1as60preprint.pdf
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