Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge solitons in the QHE   The spacelike reduction of the Chern-Simons Lagrangian yields a modified
Nonlinear Schr\"odinger Equation (jNLS) where in the non-linearity the particle
density is replaced by current. When the phase is linear in the position, this
latter is an ordinary NLS with time-dependent coefficients which admits
interesting solutions. Their arisal is explained by the conformal properties of
non-relativistic spacetime. Only the usual travelling soliton is consistent
with the jNLS, but the addition of a six-order potential converts it into an
integrable equation.

5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an