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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 2, Pages 226–232 (Mi tmf4984)  
This article is cited in 135 scientific papers (total in 135 papers)

Spatial dispersion of nonlinearity and stability of multidimensional solitons

S. K. Turitsyn
Full-text PDF (668 kB) Citations (135)
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Abstract: In the framework of the modified nonlinear Schrödinger equation it is shown that one of the mechanisms ensuring the existence of stable multidimensional solitons is nonlocality of nonlinear interaction. Degeneracy of the quasiparticle dispersion law has an analogous effect on the stability of non-one-dimensional solitons.
Received: 20.09.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 64, Issue 2, Pages 797–801
DOI: https://doi.org/10.1007/BF01017959
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Language: Russian
Citation: S. K. Turitsyn, “Spatial dispersion of nonlinearity and stability of multidimensional solitons”, TMF, 64:2 (1985), 226–232; Theoret. and Math. Phys., 64:2 (1985), 797–801
Citation in format AMSBIB
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\by S.~K.~Turitsyn
\paper Spatial dispersion of nonlinearity and stability of multidimensional solitons
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\yr 1985
\vol 64
\issue 2
\pages 226--232
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=826520}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 64
\issue 2
\pages 797--801
\crossref{https://doi.org/10.1007/BF01017959}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985A491800005}
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    • This publication is cited in the following 135 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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