Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Linear hydrodynamics and Fractionally Quantized Solitons at
  Fractional Quantum Hall Edge   We argue that dynamics of gapless Fractional Quantum Hall Edge states is
essentially non-linear and that it features fractionally quantized solitons
propagating along the edge. Observation of solitons would be a direct evidence
of fractional charges. We show that the non-linear dynamics of the Laughlin's
FQH state is governed by the quantum Benjamin-Ono equation. Non-linear dynamics
of gapless edge states is determined by gapped modes in the bulk of FQH liquid.
The dispersion of edge modes is traced to the double boundary layer of FQH
states.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
2
The categories of this paper are: math