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Revista mexicana de física
Print version ISSN 0035-001X
Rev. mex. fis. vol.50 n.5 México Oct. 2004
Investigación
Scattering of periodic solitons
R.J. Covaa,* and W.J. Zakrzewskib
a Carleton University, School of Mathematics and Statistics, 1125 Colonel by Drive, Ottawa, Ontario K1S 5B6, Canada, e-mail: rcova@math.carleton.ca.
b University of Durham, Dept of Mathematical Sciences, Durham DH1 3LE, UK, e-mail: w.j.zakrzewski@durham.ac.uk.
Recibido el 3 de febrero de 2004.
Aceptado el 21 de abril de 2004.
Abstract
Through numerical simulations we study N-soliton scattering (N=3,4) in the (2 + 1)-dimensional CP1 model with periodic boundary conditions. Solitons colliding from symmetrical configurations scatter at π/N, as observed in the usual model with standard boundary conditions. When the initial configurations are not symmetric the angles differ from π/N. We describe our observed patterns based on a properly formulated geodesic approximation.
Keywords: Soliton; scattering; CP1 model.
Resumen
Usando simulaciones numéricas estudiamos la dispersión de N solitones (N = 3,4) en el modelo CP1 en (2+1) dimensiones con condiciones de borde periódicas. Las colisiones a partir de configuraciones simétricas dan un ángulo de dispersión π/N, concordando con lo observado en el modelo usual con condiciones de borde estándar. Si inicialmente las configuraciones no son simétricas, los solitones no se dispersan a π/N. Presentamos una descripción de esta dinámica en términos de una aproximación geodésica.
Descriptores: Solitón; dispersión; modelo CP1.
PACS: 11.10.-z; 02.60.-x; 03.50.Kk
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References
* Permanent address: Departamento de Física, FEC, Universidad de Zulia, Maracaibo, Venezuela.
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