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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 527–535
DOI: https://doi.org/10.4213/tmf6370 (Mi tmf6370) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic expansion of the wobbling kink

O. F. Oxtobya, I. V. Barashenkovb

a The Council for Scientific and Industrial Research
b University of Cape Town
Full-text PDF (406 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6370
Abstract: We use the method of multiple scales to study the wobbling kink of the $\phi^4$ equation. We show that the amplitude of the wobbling decays very slowly, proportionally to $t^{-1/2}$, and the wobbler hence turns out to be an extremely long-lived object.
Keywords: $\phi^4$ equation, wobbling kink, asymptotic expansion, second-harmonic radiation.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 863–869
DOI: https://doi.org/10.1007/s11232-009-0074-7
Bibliographic databases:
Language: Russian
Citation: O. F. Oxtoby, I. V. Barashenkov, “Asymptotic expansion of the wobbling kink”, TMF, 159:3 (2009), 527–535; Theoret. and Math. Phys., 159:3 (2009), 863–869
Citation in format AMSBIB
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\paper Asymptotic expansion of the~wobbling kink
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Linking options:
  • https://www.mathnet.ru/eng/tmf6370
  • https://doi.org/10.4213/tmf6370
  • https://www.mathnet.ru/eng/tmf/v159/i3/p527
    • This publication is cited in the following 3 articles:
    1. M. I. Fakhretdinov, K. Y. Samsonov, S. V. Dmitriev, E. G. Ekomasov, “Attractive Impurity as a Generator of Wobbling Kinks and Breathers in the $\varphi^4$ Model”, Rus. J. Nonlin. Dyn., 20:1 (2024), 15–26  mathnet  crossref
    2. Alexander E. Kudryavtsev, Mariya A. Lizunova, “Search for long-living topological solutions of the nonlinear ϕ4 field theory”, Phys. Rev. D, 95:5 (2017)  crossref
    3. Arodz H., Swierczynski Z., “Swaying oscillons in the signum-Gordon model”, Phys Rev D, 84:6 (2011), 067701  crossref  adsnasa  isi  scopus  scopus
    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:393
    Full-text PDF :190
    References:70
    First page:9
     
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