Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Fubini instantons   We show that $(1+2)$ nonlinear Klein-Gordon equation with negative coupling
admits an exact solution which appears to be the linear superposition of the
plane wave and the nonsingular rational soliton. We show that the same approach
allows to construct the solution of similar properties for the Euclidean
$\phi^4$ model with broken symmetry. Interestingly, this regular solution will
be of instanton type only in the $D\le 5$ Euclidean space.

26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg