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n -body dynamics of stabilized vector solitons

Gaspar D. MontesinosUniversidad de Castilla-La Mancha Departamento de Matemáticas, Escuela Técnica Superior de Ingenieros Industriales, , 13071 Ciudad Real, SpainMaría I. Rodas-VerdeUniversidade de Vigo Área de Óptica, Facultade de Ciencias de Ourense, , As Lagoas s∕n, Ourense, ES-32005 SpainVíctor M. Pérez‐GarcíaUniversidad de Castilla-La Mancha Departamento de Matemáticas, Escuela Técnica Superior de Ingenieros Industriales, , 13071 Ciudad Real, SpainHumberto MichinelUniversidade de Vigo Área de Óptica, Facultade de Ciencias de Ourense, , As Lagoas s∕n, Ourense, ES-32005 Spain
2005en
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In this work we study the interactions between stabilized Townes solitons. By means of effective Lagrangian methods, we have found that the interactions between these solitons are governed by central forces, in a first approximation. In our numerical simulations we describe different types of orbits, deflections, trapping, and soliton splitting. Splitting phenomena are also described by finite-dimensional reduced models. All these effects could be used for potential applications of stabilized solitons.

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