Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Travelling heteroclinic waves in a Frenkel-Kontorova chain with
  anharmonic on-site potential   The Frenkel-Kontorova model for dislocation dynamics from 1938 is given by a
chain of atoms, where neighbouring atoms interact through a linear spring and
are exposed to a smooth periodic on-site potential. A dislocation moving with
constant speed corresponds to a heteroclinic travelling wave, making a
transition from one well of the on-site potential to another. The ensuing
system is nonlocal, nonlinear and nonconvex. We present an existence result for
a class of smooth nonconvex on-site potentials. Previous results in mathematics
and mechanics have been limited to on-site potentials with harmonic wells. To
overcome this restriction, we first develop a global centre manifold theory for
anharmonic wave trains, then parametrise the centre manifold to obtain
asymptotically correct approximations to the solution sought, and finally
obtain the heteroclinic wave via a fixed point argument.

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The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci