title: n-body dynamics of stabilized vector solitons.
abstract: 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.
authors.affiliation: Departamento de Matemáticas, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain.
authors.forename: Gaspar D
authors.initials: GD
authors.lastname: Montesinos
authors.forename: María I
authors.initials: MI
authors.lastname: Rodas-Verde
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Pérez-García
authors.forename: Humberto
authors.initials: H
authors.lastname: Michinel
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D008954:Models, Biological; D015233:Models, Statistical; D017711:Nonlinear Dynamics