On decay of shock-like waves into compact oscillons
arXiv:1909.11137 · doi:10.1103/PhysRevD.101.076013
Abstract
The signum-Gordon model in 1+1 dimensions possesses the exact shockwave solution with discontinuity of the field at the light cone and infinite gradient energy. The energy of a regular part of the wave inside the light cone is finite and it grows linearly with time. The initial data for such waves contain a field configuration which is null in the space and has time derivative proportional to the Dirac delta. We study regularized initial data that lead to shock-like waves with finite gradient energy. We found that such waves exist in the finite time intervals and finally they decay and produce a cascade of oscillon-like structures. A pattern of the decay is very similar to the one observed in process of scattering of compact oscillons.
arXiv comment28 pages, 21 figures
References in corpus (18)
- Pseudo-Stable Bubbles
- A Skyrme-type proposal for baryonic matter
- Affine Toda Solitons and Vertex Operators
- Oscillon resonances and creation of kinks in particle collisions
- Oscillons in Scalar Field Theories: Applications in Higher Dimensions and Inflation
- Compact baby skyrmions
- Compact oscillons in the signum-Gordon model
- A simple formula for the conserved charges of soliton theories
- Oscillons in the presence of external potential
- Scaling, self-similar solutions and shock waves for V-shaped field potentials
- Field-theoretic Models with V-shaped Potentials
- Compact Q-balls and Q-shells in the CPN type models
- Swaying oscillons in the signum-Gordon model
- Oscillons in a perturbed signum-Gordon model
- Scattering of compact oscillons
- The BPS sectors of the Skyrme model and their non-BPS extensions
- Signum-Gordon wave equation and its self-similar solutions
- On Shock Waves in Models with V-Shaped Potentials