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arXiv · 1201.2279

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

H. Arodz·J. Karkowski·Z. Swierczynski
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Abstract

Several classes of self-similar, spherically symmetric solutions of relativistic wave equation with nonlinear term of the form sign(ϕ) 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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H. Arodz, J. Karkowski, Z. Swierczynski. 2012-01-11. Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model. https://arxiv.org/abs/1201.2279

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