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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 536–544
DOI: https://doi.org/10.4213/tmf6371 (Mi tmf6371) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Oscillating solitons of the driven, damped nonlinear Schrödinger equation

E. V. Zemlyanayaa, N. V. Alekseevab

a Joint Institute for Nuclear Research
b University of Cape Town
Full-text PDF (1148 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf6371
Abstract: We obtain time-periodic solitons of the parametrically driven, damped nonlinear Schrödinger equation as solutions of the boundary value problem on a two-dimensional domain. We classify the stability and bifurcations of singly and doubly periodic solutions.
Keywords: nonlinear Schrödinger equation, parametric driving, stability, Floquet multiplier, bifurcation of doubled period.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 870–876
DOI: https://doi.org/10.1007/s11232-009-0075-6
Bibliographic databases:
Language: Russian
Citation: E. V. Zemlyanaya, N. V. Alekseeva, “Oscillating solitons of the driven, damped nonlinear Schrödinger equation”, TMF, 159:3 (2009), 536–544; Theoret. and Math. Phys., 159:3 (2009), 870–876
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6371
  • https://www.mathnet.ru/eng/tmf/v159/i3/p536
    • This publication is cited in the following 13 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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    Full-text PDF :245
    References:38
    First page:27
     
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