Geodesic
Modeling Adiabatic $N$-Soliton Interactions and Perturbations
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 302-312

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We analyze a perturbed version of the complex Toda chain (CTC) in an attempt to describe the adiabatic N-soliton train interactions of the perturbed nonlinear Schrodinger equation. We study perturbations with weak quadratic and periodic external potentials analytically and numerically. The perturbed CTC adequately models the N-soliton train dynamics for both types of potentials. As an application of the developed theory, we consider the dynamics of a train of matter-wave solitons confined in a parabolic trap and an optical lattice.
Keywords: complex Toda chain, adiabatic dynamics
Mots-clés : soliton train, expulsion of a soliton. 
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     author = {V. S. Gerdjikov and B. B. Baizakov and M. Salerno},
     title = {Modeling {Adiabatic} $N${-Soliton} {Interactions} and {Perturbations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {302--312},
     publisher = {mathdoc},
     volume = {144},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a7/}
}
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V. S. Gerdjikov; B. B. Baizakov; M. Salerno. Modeling Adiabatic $N$-Soliton Interactions and Perturbations. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 302-312. http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a7/