Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{ZolSem03}
\by I.~O.~Zolotovskii, D.~I.~Sementsov
\paper Nonlinear Dynamics of a Two-Mode Wave Packet with Strong Linear Intermode
\jour TMF
\yr 2003
\vol 135
\issue 1
\pages 107--116
\mathnet{http://mi.mathnet.ru/tmf179}
\crossref{https://doi.org/10.4213/tmf179}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1997653}
\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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183054500006}
Linking options:
  • 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:
    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
    Statistics & downloads:
    Abstract page:351
    Full-text PDF :193
    References:37
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024