Signum-Gordon wave equation and its self-similar solutions
نویسندگان
چکیده
We investigate self-similar solutions of evolution equation of a (1+1)dimensional field model with the V-shaped potential U(φ) = |φ|, where φ is a real scalar field. The equation contains a nonlinear term of the form sign(φ), and it possesses a scaling symmetry. It turns out that there are several families of the self-similar solutions with qualitatively different behaviour. We also discuss a rather interesting example of evolution with non self-similar initial data the corresponding solution contains a self-similar component. PACS: 05.45.-a, 03.50.Kk, 11.10.Lm Preprint TPJU 15/2006
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تاریخ انتشار 2007