Wobbling kinks in $φ^4$ theory

Details Wobbling kinks in $φ^4$ theory Wobbling kinks in $φ^4$ theory

2009-07-21

arxiv.org/abs/0907.3611v1

Nonlinear Sciences

Pattern Formation and Solitons

9 pages in a double-column format; 1 figure. This is an extended version of our previous submission in arXiv:0812.4926

Scientific paper

We present a uniform asymptotic expansion of the wobbling kink to any order in the amplitude of the wobbling mode. The long-range behaviour of the radiation is described by matching the asymptotic expansions in the far field and near the core of the kink. The complex amplitude of the wobbling mode is shown to obey a simple ordinary differential equation with nonlinear damping. We confirm the $t^{-1/2}$-decay law for the amplitude which was previously obtained on the basis of energy considerations.

Affiliated with

Also associated with

No associations

Rating

Wobbling kinks in $φ^4$ theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wobbling kinks in $φ^4$ theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wobbling kinks in $φ^4$ theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-175765