Discrete Levy transformations and Casorati determinant solutions of quadrilateral lattices

Sequences of discrete Levy and adjoint Levy transformations for multidimensional quadrilateral lattices are studied. After a suitable number of iterations we show how all the relevant geometrical features of the transformed quadrilateral lattice can be expressed in terms of multi-Casorati determinan...

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Detalles Bibliográficos
Autores: Liu, Yong-Jun, Mañas Baena, Manuel Enrique
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59697
Acceso en línea:https://hdl.handle.net/20.500.14352/59697
Access Level:acceso abierto
Palabra clave:51-73
Soliton-solutions
Equations
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:Sequences of discrete Levy and adjoint Levy transformations for multidimensional quadrilateral lattices are studied. After a suitable number of iterations we show how all the relevant geometrical features of the transformed quadrilateral lattice can be expressed in terms of multi-Casorati determinants. As an example we dress the Cartesian lattice.