Studying the topological stability of the $λΦ^4 $ kink

Details Studying the topological stability of the $λΦ^4 $ kink Studying the topological stability of the $λΦ^4 $ kink

2010-04-26

arxiv.org/abs/1004.4643v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

The lambda-phi4 kink is linearly and topologically stable. We study how extra
energy perturbations are dissipated beyond the linear regime. We found that
depending on the width, amplitude and energy of a Gaussian perturbation
different scenarios are possible: radiation, oscillons creation, kink anti-kink
pairs production and shock waves.

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