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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 2, Pages 254–271
DOI: https://doi.org/10.4213/tmf966
(Mi tmf966)
 

This article is cited in 6 scientific papers (total in 6 papers)

Creation of soliton pairs in nonlinear media with low dissipation

D. N. Ivanychev, G. M. Fraiman

Institute of Applied Physics, Russian Academy of Sciences
Full-text PDF (352 kB) Citations (6)
References:
Abstract: Two weakly interacting KdV solitons in the presence of low viscosity are considered. A model describing their interaction in terms of a slow change of parameters of the two-soliton solution of the KdV equation under perturbation is proposed. It is shown that the inverse scattering method as well as Whitham's method lead to the same system of reduced equations. The found solutions are in good correspondence with the results of numerical calculations. The main result is a creation of a bound quasistationary pair of solitons with their successive dissipation. Although both creation and dissipation processes are due to the low viscosity, the former one is essentially faster.
Received: 26.07.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 2, Pages 199–213
DOI: https://doi.org/10.1007/BF02630446
Bibliographic databases:
Language: Russian
Citation: D. N. Ivanychev, G. M. Fraiman, “Creation of soliton pairs in nonlinear media with low dissipation”, TMF, 110:2 (1997), 254–271; Theoret. and Math. Phys., 110:2 (1997), 199–213
Citation in format AMSBIB
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\paper Creation of soliton pairs in nonlinear media with low dissipation
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 110
\issue 2
\pages 199--213
\crossref{https://doi.org/10.1007/BF02630446}
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Linking options:
  • https://www.mathnet.ru/eng/tmf966
  • https://doi.org/10.4213/tmf966
  • https://www.mathnet.ru/eng/tmf/v110/i2/p254
  • This publication is cited in the following 6 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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    Abstract page:443
    Full-text PDF :206
    References:96
    First page:1
     
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