Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maps, PDE's and Solitary Waves   We describe a map-based model which reproduces many of the behaviors seen in
partial differential equations (PDE's). Like PDE's, we show that this model can
support an infinite number of stationary solutions, traveling solutions,
breathing solutions, and elastically colliding solutions. Unlike PDE's, the
model can be applied with minimal computational machinery, and few sources of
numerical error. Moreover, this model clarifies possible mechanisms by which
various coherent solutions are maintained in the face of dispersion.

10
The categories of this paper are: q-bio
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph