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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 302–312
DOI: https://doi.org/10.4213/tmf1855 (Mi tmf1855) 		 
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
Full-text PDF (635 kB) Citations (15)
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DOI: https://doi.org/10.4213/tmf1855
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.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1138–1146
DOI: https://doi.org/10.1007/s11232-005-0143-5
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\paper Modeling Adiabatic $N$-Soliton Interactions and Perturbations
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\yr 2005
\vol 144
\issue 2
\pages 302--312
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...144.1138G}
\elib{https://elibrary.ru/item.asp?id=17703439}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1138--1146
\crossref{https://doi.org/10.1007/s11232-005-0143-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000232092900009}
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  • https://www.mathnet.ru/eng/tmf1855
  • https://doi.org/10.4213/tmf1855
  • https://www.mathnet.ru/eng/tmf/v144/i2/p302
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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