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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 77, Pages 24–56 (Mi znsl1920)  
This article is cited in 3 scientific papers (total in 3 papers)

Completely integrable model of classical field theory with nontrivial particle interaction in two-dimensional space-time

A. S. Budagov
Full-text PDF (1351 kB) Citations (3)
Abstract: The complete integrability of a nonlinear relativistic equation, being a generalization of the sine-Gordon equation for the case of group $SO(3)$, is shown. The soliton spectrum is described and exact solutions describing their interaction are obtained. It is shown that together with elastic scattering there exist the processes of decay and merging of solitons. A generalization of the sine-Gordon equation for an arbitrary compact Lie group is discussed.
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 5, Pages 1550–1573
DOI: https://doi.org/10.1007/BF01375607
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: A. S. Budagov, “Completely integrable model of classical field theory with nontrivial particle interaction in two-dimensional space-time”, Questions of quantum field theory and statistical physics, Zap. Nauchn. Sem. LOMI, 77, "Nauka", Leningrad. Otdel., Leningrad, 1978, 24–56; J. Soviet Math., 22:5 (1983), 1550–1573
Citation in format AMSBIB
\Bibitem{Bud78}
\by A.~S.~Budagov
\paper Completely integrable model of classical field theory with nontrivial particle interaction in two-dimensional space-time
\inbook Questions of quantum field theory and statistical physics
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 77
\pages 24--56
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1920}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=541693}
\zmath{https://zbmath.org/?q=an:0517.70021|0425.70015}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 5
\pages 1550--1573
\crossref{https://doi.org/10.1007/BF01375607}
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  • https://www.mathnet.ru/eng/znsl/v77/p24
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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