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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 81, Number 1, Pages 154–157 (Mi tmf5358)  
This article is cited in 3 scientific papers (total in 3 papers)

Integrability conditions for equations that describe the interaction of colliding wave packets of different polarizations in nonlinear optics

D. D. Tskhakaya (Jr.)
Full-text PDF (417 kB) Citations (3)
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Abstract: Possibility of integrating by the inverse scattering problem method is investigated for equations describing interaction of colliding quasimonochromatic wave packets in a medium with cubic nonlinearity. It is shown that all the integrable cases are restricted to the already known integrable case of the equations of “unsymmetrical chiral field” which corresponds to propagation of waves without the Kerr self-interaction.
Received: 10.11.1988
English version:
Theoretical and Mathematical Physics, 1989, Volume 81, Issue 1, Pages 1119–1122
DOI: https://doi.org/10.1007/BF01015517
Bibliographic databases:
Language: Russian
Citation: D. D. Tskhakaya (Jr.), “Integrability conditions for equations that describe the interaction of colliding wave packets of different polarizations in nonlinear optics”, TMF, 81:1 (1989), 154–157; Theoret. and Math. Phys., 81:1 (1989), 1119–1122
Citation in format AMSBIB
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\by D.~D.~Tskhakaya (Jr.)
\paper Integrability conditions for equations that describe the interaction of~colliding wave packets of~different polarizations in~nonlinear optics
\jour TMF
\yr 1989
\vol 81
\issue 1
\pages 154--157
\mathnet{http://mi.mathnet.ru/tmf5358}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1025317}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 81
\issue 1
\pages 1119--1122
\crossref{https://doi.org/10.1007/BF01015517}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989DE07500014}
Linking options:
  • https://www.mathnet.ru/eng/tmf5358
  • https://www.mathnet.ru/eng/tmf/v81/i1/p154
    • This publication is cited in the following 3 articles:
    1. S. Pitois, G. Millot, S. Wabnitz, “Nonlinear polarization dynamics of counterpropagating waves in an isotropic optical fiber: theory and experiments”, J. Opt. Soc. Am. B, 18:4 (2001), 432  crossref
    2. S. Pitois, G. Millot, S. Wabnitz, “Polarization Domain Wall Solitons with Counterpropagating Laser Beams”, Phys. Rev. Lett., 81:7 (1998), 1409  crossref
    3. S. Wabnitz, B. Daino, “Polarization domains and instabilities in nonlinear optical fibers”, Physics Letters A, 182:2-3 (1993), 289  crossref
    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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    Abstract page:258
    Full-text PDF :104
    References:48
    First page:1
     
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