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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 76, Number 2, Pages 199–206 (Mi tmf5051)  
This article is cited in 4 scientific papers (total in 4 papers)

Investigation of nonlinear one-dimensional systems by means of the Hamiltonian formalism

V. G. Mikhalev
Full-text PDF (680 kB) Citations (4)
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Abstract: A method is proposed for investigating the solutions of the weakly perturbed sine–Gordon equation by means of action–angle variables. The Green's function of radiation on the background of many-soliton solutions is calculated in the first approximation in the amplitude. The dynamics of one- and two-soliton solutions is investigated. The Landau–Lifshitz equation (including the nonintegrable modifications) is reduced in a special case to the perturbed sine–Gordon equation. Some solutions are investigated.
Received: 29.09.1987
English version:
Theoretical and Mathematical Physics, 1988, Volume 76, Issue 2, Pages 804–809
DOI: https://doi.org/10.1007/BF01028579
Bibliographic databases:
Language: Russian
Citation: V. G. Mikhalev, “Investigation of nonlinear one-dimensional systems by means of the Hamiltonian formalism”, TMF, 76:2 (1988), 199–206; Theoret. and Math. Phys., 76:2 (1988), 804–809
Citation in format AMSBIB
\Bibitem{Mik88}
\by V.~G.~Mikhalev
\paper Investigation of nonlinear one-dimensional systems by means of the Hamiltonian formalism
\jour TMF
\yr 1988
\vol 76
\issue 2
\pages 199--206
\mathnet{http://mi.mathnet.ru/tmf5051}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=965506}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 76
\issue 2
\pages 804--809
\crossref{https://doi.org/10.1007/BF01028579}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U240300004}
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  • https://www.mathnet.ru/eng/tmf5051
  • https://www.mathnet.ru/eng/tmf/v76/i2/p199
    • This publication is cited in the following 4 articles:
    1. V. G. Mikhalev, “A generalization of the Kac-Moody algebras with a parameter on an algebraic curve and perturbations of solitons”, Commun.Math. Phys., 134:3 (1990), 633  crossref
    2. V. G. Mikhalev, “Solution of the inverse scattering problem for the Landau–Lifshits equation by the Gel'fand–Levitan–Marchenko method”, Funct. Anal. Appl., 23:3 (1989), 233–235  mathnet  crossref  mathscinet  zmath  isi
    3. V. G. Mikhalev, “On complete integrability of the O(3)-field in the class of rapidly decreasing functions”, J. Soviet Math., 59:5 (1992), 1092–1096  mathnet  mathnet  crossref
    4. Vladimir G. Mikhalev, “Complete integrability of the asymmetric chiral O(3)-field equation in a class of rapidly decreasing functions”, Physica D: Nonlinear Phenomena, 40:3 (1989), 421  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:413
    Full-text PDF :143
    References:62
    First page:1
     
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