Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Competing Interactions and Traveling Wave Solutions in Lattice
  Differential Equations   The existence of traveling front solutions to bistable lattice differential
equations in the absence of a comparison principle is studied. The results are
in the spirit of those in Bates, Chen, and Chmaj in[1], but are applicable to
vector equations and to more general limiting systems. An abstract result on
the persistence of traveling wave solutions is obtained and is then applied to
lattice differential equations with repelling first and/or second neighbor
interactions and to some problems with infinite range interactions.

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The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs