Asymptotic expansion of the wobbling kink

Details Asymptotic expansion of the wobbling kink Asymptotic expansion of the wobbling kink

2008-12-29

arxiv.org/abs/0812.4926v1

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, 1 figure. Part of a talk given at the workshop "Nonlinear Physics. Theory and Experiment. V", Gallipoli (Lecce), Jun

Scientific paper

The method of multiple scales is used to study the wobbling kink of the
$\phi^4$ equation. The amplitude of the wobbling is shown to decay very slowly,
as $t^{-1/2}$, and hence the wobbler turns out to be an extremely long-lived
object.

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