Reference health
On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials
29/29 checkable references clean · checked 2026-08-18
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
7 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 29 checked references that resolve
resolves10.1090/jams/845
The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation
resolves10.1088/0951-7715/22/12/004
Perturbation theory for the nonlinear Schrödinger equation with a random potential
resolves10.1088/0951-7715/25/4/R53
The nonlinear Schrödinger equation with a random potential: results and puzzles
resolves10.1103/PhysRevLett.102.024101
Universal Spreading of Wave Packets in Disordered Nonlinear Systems
resolves10.1007/s00205-013-0689-6
Long-time Instability and Unbounded Sobolev Orbits for Some Periodic Nonlinear Schrödinger Equations
resolves10.1088/1367-2630/12/6/063035
A numerical and symbolical approximation of the nonlinear Anderson model
resolves10.1007/s10955-008-9649-1
Long Time Anderson Localization for the Nonlinear Random Schrödinger Equation
resolves10.1103/PhysRevLett.122.040501
Wave Packet Spreading with Disordered Nonlinear Discrete-Time Quantum Walks
resolves10.1103/PhysRevE.69.066608
Noisy spectra, long correlations, and intermittency in wave turbulence
resolves10.1016/j.physd.2018.06.003
Quantum hydrodynamic approximations to the finite temperature trapped Bose gases
resolves10.1088/1751-8121/aaf7b3
A kinetic equation for ultra-low temperature Bose–Einstein condensates
resolves10.1016/j.physleta.2004.09.062
Probability densities and preservation of randomness in wave turbulence
resolves10.1088/1751-8113/44/30/305206
Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model
resolves10.1103/PhysRevA.81.025603
Bose-Einstein condensates on tilted lattices: Coherent, chaotic, and subdiffusive dynamics
The 7 references without a DOI — listed, not checked
no DOI — not checkedBesse, C., and Garreau, J.C. (2015). Nonlinear Lattice Waves in Random Potentials, Springer.
no DOI — not checkedSpreading, nonergodicity, and selftrapping: a puzzle of interacting disordered lattice waves
no DOI — not checkedPhysical realizability of anisotropic weak-turbulence Kolmogorov spectra
no DOI — not checkedZakharov, V.E., L’vov, V.S., and Falkovich, G. (2012). Kolmogorov Spectra of Turbulence I: Wave Turbulence, Springer Science & Business Media.
no DOI — not checkedCraciun, G., and Tran, M.B. (2016). A reaction network approach to the convergence to equilibrium of quantum boltzmann equations for bose gases. arXiv.
no DOI — not checkedGermain, P., Ionescu, A.D., and Tran, M.-B. (2017). Optimal local well-posedness theory for the kinetic wave equation. arXiv.
no DOI — not checkedVázquez, J.L. (2007). The Porous Medium Equation: Mathematical Theory, Oxford University Press.
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