Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model

Details Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model

2012-01-11

arxiv.org/abs/1201.2279v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 4 figures; Acta Phys. Pol. B43 (2012), in print

Scientific paper

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.

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