Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model
High Energy Physics - Theory
2012-01-12 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Several classes of self-similar, spherically symmetric solutions of relativistic wave equation with nonlinear term of the form sign(\phi) are presented. They are constructed from cubic polynomials in the scale invariant variable t/r. One class of solutions describes a process of wiping out the initial field, another an accumulation of field energy in a finite and growing region of space.
Keywords
Cite
@article{arxiv.1201.2279,
title = {Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model},
author = {H. Arodz and J. Karkowski and Z. Swierczynski},
journal= {arXiv preprint arXiv:1201.2279},
year = {2012}
}
Comments
14 pages, 4 figures; Acta Phys. Pol. B43 (2012), in print