%0 Journal Article %T Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model %A H. Arodz %A J. Karkowski %A Z. Swierczynski %J Physics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1201.2279v1