Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent soliton states hidden in phase-space and stabilized by
  gravitational incoherent structures   We consider the problem of the formation of soliton states from a
modulationally unstable initial condition in the framework of the
Schr\"odinger-Poisson (or Newton-Schr\"odinger) equation accounting for
gravitational interactions. We unveil a previously unrecognized regime: By
increasing the nonlinearity, the system self-organizes into an incoherent
localized structure that contains "hidden" coherent soliton states. The
solitons are "hidden" in the sense that they are fully immersed in random wave
fluctuations: The radius of the soliton is much larger than the correlation
radius of the incoherent fluctuations while its peak amplitude is of the same
order of such fluctuations. Accordingly, the solitons can hardly be identified
in the usual spatial or spectral domains, while their existence is clearly
unveiled in the phase-space representation. Our multi-scale theory based on
coupled coherent-incoherent wave turbulence formalisms reveals that the hidden
solitons are stabilized and trapped by the incoherent localized structure.
Furthermore, hidden binary soliton systems are identified numerically and
described theoretically. The regime of hidden solitons is of potential interest
for self-gravitating Boson models of "fuzzy" dark matter. It also sheds new
light on the quantum-to-classical correspondence with gravitational
interactions. The hidden solitons can be observed in nonlocal nonlinear optics
experiments through the measurement of the spatial spectrogram.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci