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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 1, Pages 4–12
DOI: https://doi.org/10.4213/tmf6659 (Mi tmf6659) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Breathers in a damped–driven nonlinear Schrödinger equation

N. V. Alekseevaa, E. V. Zemlyanayab

a Department of Mathematics, University of Cape Town, Cape Town, South Africa
b Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Full-text PDF (373 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6659
Abstract: We construct time-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation as solutions of a boundary value problem for the space-dependent Fourier coefficients.
Keywords: nonlinear Schrödinger equation, stability, soliton, damping, parametric driving, bifurcation.
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 1, Pages 858–864
DOI: https://doi.org/10.1007/s11232-011-0069-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. V. Alekseeva, E. V. Zemlyanaya, “Breathers in a damped–driven nonlinear Schrödinger equation”, TMF, 168:1 (2011), 4–12; Theoret. and Math. Phys., 168:1 (2011), 858–864
Citation in format AMSBIB
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\by N.~V.~Alekseeva, E.~V.~Zemlyanaya
\paper Breathers in a~damped--driven nonlinear Schr\"odinger equation
\jour TMF
\yr 2011
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\pages 4--12
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\crossref{https://doi.org/10.4213/tmf6659}
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\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 168
\issue 1
\pages 858--864
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  • https://www.mathnet.ru/eng/tmf6659
  • https://doi.org/10.4213/tmf6659
  • https://www.mathnet.ru/eng/tmf/v168/i1/p4
    • This publication is cited in the following 2 articles:
    1. Urzagasti D., Aramayo A., Laroze D., “Soliton-Antisoliton Interaction in a Parametrically Driven Easy-Plane Magnetic Wire”, Phys. Lett. A, 378:35 (2014), 2614–2618  crossref  zmath  adsnasa  isi  scopus
    2. Urzagasti D., Laroze D., Clerc M.G., Pleiner H., “Breather Soliton Solutions in a Parametrically Driven Magnetic Wire”, EPL, 104:4 (2013), 40001  crossref  adsnasa  isi  scopus
    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 :219
    References:77
    First page:16
     
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