Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear spectral synthesis of soliton gas in deep-water surface
  gravity waves   Soliton gases represent large random soliton ensembles in physical systems
that display integrable dynamics at the leading order. Despite significant
theoretical developments and observational evidence of ubiquity of soliton
gases in fluids and optical media their controlled experimental realization has
been missing. We report the first controlled synthesis of a dense soliton gas
in deep-water surface gravity waves using the tools of nonlinear spectral
theory (inverse scattering transform (IST)) for the one-dional focusing
nonlinear Schr\"odinger equation. The soliton gas is experimentally generated
in a one-dimensional water tank where we demonstrate that we can control and
measure the density of states, i. e. the probability density function
parametrizing the soliton gas in the IST spectral phase space. Nonlinear
spectral analysis of the generated hydrodynamic soliton gas reveals that the
density of states slowly changes under the influence of perturbative
higher-order effects that break the integrability of the wave dynamics.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess