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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 1, Pages 92–102
DOI: https://doi.org/10.4213/tmf1029 (Mi tmf1029) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Perturbation of the two-soliton solution of the KdV equation

L. A. Kalyakin, V. A. Lazarev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (242 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1029
Abstract: The Cauchy problem for the perturbed Korteveg–de Vries equation with the two-solitons initial data is considered. Differential equations for the slow deformation of the parameters, namely amplitudes and phase shifts, are derived. It is shown that the phase shift of the slow soliton depends on the deformation of the fast soliton. For some perturbations the slow deformations of the parameters are obtained in the explicit form.
Received: 17.04.1996
Revised: 17.02.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 1, Pages 866–874
DOI: https://doi.org/10.1007/BF02634101
Bibliographic databases:
Language: Russian
Citation: L. A. Kalyakin, V. A. Lazarev, “Perturbation of the two-soliton solution of the KdV equation”, TMF, 112:1 (1997), 92–102; Theoret. and Math. Phys., 112:1 (1997), 866–874
Citation in format AMSBIB
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\paper Perturbation of the two-soliton solution of the KdV equation
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\jour Theoret. and Math. Phys.
\yr 1997
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  • https://www.mathnet.ru/eng/tmf1029
  • https://doi.org/10.4213/tmf1029
  • https://www.mathnet.ru/eng/tmf/v112/i1/p92
    • This publication is cited in the following 2 articles:
    1. A. Veksler, Y. Zarmi, “Perturbative Analysis of Wave Interaction in Nonlinear Systems”, Theoret. and Math. Phys., 144:2 (2005), 1227–1237  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    2. V. A. Lazarev, “Perturbation of a two-soliton solution of the Korteweg–de Vries equation in the case of close amplitudes”, Theoret. and Math. Phys., 118:3 (1999), 341–346  mathnet  crossref  crossref  mathscinet  zmath  isi
    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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