We investigate self-similar solutions of evolution equation of a (1+1)-dimensional field model with the V-shaped potential
where
is a real scalar field. The equation contains a nonlinear term of the form
, and it possesses a scaling symmetry. It turns out that there are several families of the self-similar solutions with qualitatively different behaviour.
... [Show full abstract] We also discuss a rather interesting example of evolution with non self-similar initial data - the corresponding solution contains a self-similar component.