Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solitary waves in atomic chains and peridynamical media   Peridynamics describes the nonlinear interactions in spatially extended
Hamiltonian systems by nonlocal integro-differential equations, which can be
regarded as the natural generalization of lattice models. We prove the
existence of solitary traveling waves for super-quadratic potentials by
maximizing the potential energy subject to both a norm and a shape constraint.
We also discuss the numerical computation of waves and study several asymptotic
regimes.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom