On decay of shock-like waves into compact oscillons

• Published in: arXiv.org
• Main Authors: Hahne, F M, Klimas, P, Streibel, J S
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 24.09.2019
• Subjects: Decay; Oscillons; Physics - High Energy Physics - Theory
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1909.11137

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.