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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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  • https://www.mathnet.ru/eng/tmf/v159/i3/p527
    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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