Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiscale expansion on the lattice and integrability of partial
  difference equations   We conjecture an integrability and linearizability test for dispersive
Z^2-lattice equations by using a discrete multiscale analysis. The lowest order
secularity conditions from the multiscale expansion give a partial differential
equation of the form of the nonlinear Schrodinger (NLS) equation. If the
starting lattice equation is integrable then the resulting NLS equation turns
out to be integrable, while if the starting equation is linearizable we get a
linear Schrodinger equation. On the other hand, if we start with a
non-integrable lattice equation we may obtain a non-integrable NLS equation.
This conjecture is confirmed by many examples.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph