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This article is cited in 15 scientific papers (total in 15 papers)
Modeling Adiabatic $N$-Soliton Interactions and Perturbations
V. S. Gerdjikova, B. B. Baizakovbc, M. Salernobc a Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
b University of Salerno
c INFM — Istituto Nazionale di Fisica della Materia
Abstract:
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, soliton train, expulsion of a soliton.
Citation:
V. S. Gerdjikov, B. B. Baizakov, M. Salerno, “Modeling Adiabatic $N$-Soliton Interactions and Perturbations”, TMF, 144:2 (2005), 302–312; Theoret. and Math. Phys., 144:2 (2005), 1138–1146
Linking options:
https://www.mathnet.ru/eng/tmf1855https://doi.org/10.4213/tmf1855 https://www.mathnet.ru/eng/tmf/v144/i2/p302
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