Abstract
We investigate self-similar solutions of evolution equation of a (1+1) dimensional real, scalar field φ with V-shaped field potential U(φ) = |φ|. The equation contains a nonlinear term of the form sign(φ), and it has 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.
| Original language | English |
|---|---|
| Pages (from-to) | 3099-3118 |
| Number of pages | 20 |
| Journal | Acta Physica Polonica B |
| Volume | 38 |
| Issue number | 10 |
| Publication status | Published - Oct 2007 |
| Externally published | Yes |