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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 42, Number 3, Pages 362–373 (Mi tmf2544)  
This article is cited in 25 scientific papers (total in 25 papers)

Perturbation theory for solitons in the second approximation

E. M. Maslov
Full-text PDF (1259 kB) Citations (25)
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Abstract: Equations for parameters of perturbed solitons which involve the terms up to the second order of smallness are obtained with the help of the perturbation theory for nonlinear waves based on the inverse scattering problem method. It is shown that for a sufficiently large class of perturbations these equations do not include secular terms. The procedure of obtaining the higher approximations is formulated. Examples of practical interest are considered.
Received: 11.10.1978
English version:
Theoretical and Mathematical Physics, 1980, Volume 42, Issue 3, Pages 237–245
DOI: https://doi.org/10.1007/BF01018626
Bibliographic databases:
Language: Russian
Citation: E. M. Maslov, “Perturbation theory for solitons in the second approximation”, TMF, 42:3 (1980), 362–373; Theoret. and Math. Phys., 42:3 (1980), 237–245
Citation in format AMSBIB
\Bibitem{Mas80}
\by E.~M.~Maslov
\paper Perturbation theory for solitons in~the second approximation
\jour TMF
\yr 1980
\vol 42
\issue 3
\pages 362--373
\mathnet{http://mi.mathnet.ru/tmf2544}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=569027}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 42
\issue 3
\pages 237--245
\crossref{https://doi.org/10.1007/BF01018626}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KN82700007}
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  • https://www.mathnet.ru/eng/tmf/v42/i3/p362
    • This publication is cited in the following 25 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
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    Full-text PDF :186
    References:56
    First page:1
     
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