Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: KdV waves in atomic chains with nonlocal interactions   We consider atomic chains with nonlocal particle interactions and prove the
existence of near-sonic solitary waves. Both our result and the general proof
strategy are reminiscent of the seminal paper by Friesecke and Pego on the KdV
limit of chains with nearest neighbor interactions but differ in the following
two aspects: First, we allow for a wider class of atomic systems and must hence
replace the distance profile by the velocity profile. Second, in the asymptotic
analysis we avoid a detailed Fourier pole characterization of the nonlocal
integral operators and employ the contraction mapping principle to solve the
final fixed point problem.

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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin