Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-similarity for V-shaped field potentials - further examples   Three new models with V-shaped field potentials $U$ are considered: a complex
scalar field $X$ in 1+1 dimensions with $U(X)= |X|$, a real scalar field $\Phi$
in 2+1 dimensions with $U(\Phi) = |\Phi|$, and a real scalar field $\phi$ in
1+1 dimensions with $U{\phi) = \phi \Theta(\phi)$ where $\Theta$ is the step
function. Several explicit, self-similar solutions are found. They describe
interesting dynamical processes, for example, `freezing' a string in a static
configuration.

29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int