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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 1, Pages 107–116
DOI: https://doi.org/10.4213/tmf179 (Mi tmf179) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear Dynamics of a Two-Mode Wave Packet with Strong Linear Intermode

I. O. Zolotovskii, D. I. Sementsov

Ulyanovsk State University
Full-text PDF (209 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf179
Abstract: We investigate the dynamics of the wave packet formed by two codirected strongly interacting waves propagating in a medium with cubic nonlinearity. We obtain a soliton solution of the nonlinear Schrödinger equation in the degenerate case where the wave packet is described by a single partial momentum. In the nondegenerate case, we use the variational method to find the equation for the pulse duration, which turns out to be analogous to the equation for the coordinate in the Kepler problem. Solving it, we find the dependences of the pulse duration on the propagation distance in the cases of “finite” and “infinite” propagation regimes.
Keywords: wave packet, partial momentum, soliton solution, compression.
Received: 13.12.2001
Revised: 17.04.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 1, Pages 541–548
DOI: https://doi.org/10.1023/A:1023239603962
Bibliographic databases:
Language: Russian
Citation: I. O. Zolotovskii, D. I. Sementsov, “Nonlinear Dynamics of a Two-Mode Wave Packet with Strong Linear Intermode”, TMF, 135:1 (2003), 107–116; Theoret. and Math. Phys., 135:1 (2003), 541–548
Citation in format AMSBIB
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\paper Nonlinear Dynamics of a Two-Mode Wave Packet with Strong Linear Intermode
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\pages 107--116
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\zmath{https://zbmath.org/?q=an:1178.78015}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 1
\pages 541--548
\crossref{https://doi.org/10.1023/A:1023239603962}
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  • https://www.mathnet.ru/eng/tmf179
  • https://doi.org/10.4213/tmf179
  • https://www.mathnet.ru/eng/tmf/v135/i1/p107
    • This publication is cited in the following 4 articles:
    1. Zolotovskii, IO, “Optical radiation dynamics in optical fibers with nonlinear intermode coupling”, Optics and Spectroscopy, 107:1 (2009), 117  crossref  adsnasa  isi  scopus  scopus
    2. Adamova, MS, “Nonlinear dynamics of optical pulses in fibres with a travelling refractive-index-change wave”, Quantum Electronics, 39:3 (2009), 256  mathnet  crossref  adsnasa  isi  elib  scopus  scopus
    3. Adamova, MS, “Dynamics of optical radiation in an optical waveguide with a time- and length-modulated refractive index”, Journal of Communications Technology and Electronics, 54:2 (2009), 197  crossref  isi  scopus  scopus
    4. Adamova, MS, “Control of the pulse dynamics in a two-mode nonlinear optical guide with strong intermode coupling”, Journal of Communications Technology and Electronics, 52:5 (2007), 573  crossref  isi  scopus  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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