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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6370https://doi.org/10.4213/tmf6370 https://www.mathnet.ru/eng/tmf/v159/i3/p527
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Abstract page: | 346 | Full-text PDF : | 171 | References: | 49 | First page: | 9 |
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