Soliton motion in the case of a nonzero reflection coefficient

A method is given for finding the shifts in position of the solitons for the case of nonzero reflection coefficient. Expressions for boost generators in terms of scattering data play a prominent role in the analysis. Phase-shift formulas which show the effect of the radiation component on the solito...

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Detalles Bibliográficos
Autor: Martínez Alonso, Luis
Tipo de recurso: artículo
Fecha de publicación:1985
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/65009
Acceso en línea:https://hdl.handle.net/20.500.14352/65009
Access Level:acceso abierto
Palabra clave:51-73
Physics
multidisciplinary
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:A method is given for finding the shifts in position of the solitons for the case of nonzero reflection coefficient. Expressions for boost generators in terms of scattering data play a prominent role in the analysis. Phase-shift formulas which show the effect of the radiation component on the soliton motion are deduced for the nonlinear Schrodinger equation, the Korteweg —de Vries equation, and the sine-Gordon equation.