One-dimensional wave turbulence

V Zakharov, F Dias, A Pushkarev - Physics Reports, 2004 - Elsevier
The problem of turbulence is one of the central problems in theoretical physics. While the
theory of fully developed turbulence has been widely studied, the theory of wave turbulence …

Discovering and forecasting extreme events via active learning in neural operators

E Pickering, S Guth, GE Karniadakis… - Nature Computational …, 2022 - nature.com
Extreme events in society and nature, such as pandemic spikes, rogue waves or structural
failures, can have catastrophic consequences. Characterizing extremes is difficult, as they …

Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation

S Duo, Y Zhang - Computers & Mathematics with Applications, 2016 - Elsevier
We propose three Fourier spectral methods, ie, the split-step Fourier spectral (SSFS), the
Crank–Nicolson Fourier spectral (CNFS), and the relaxation Fourier spectral (ReFS) …

Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers

F Biancalana, DV Skryabin, AV Yulin - … E—Statistical, Nonlinear, and Soft Matter …, 2004 - APS
We develop a theory of the soliton self-frequency shift compensation by the resonant
radiation recently observed in photonic crystal fibers. Our approach is based on the …

Interaction of an optical soliton with a dispersive wave

A Efimov, AV Yulin, DV Skryabin, JC Knight, N Joly… - Physical review …, 2005 - APS
Scattering of a dispersive wave by optical solitons is studied experimentally in photonic
crystal fibers in cases when the soliton and the dispersive wave have either identical or …

Numerical solution of fractional-in-space nonlinear Schrödinger equation with the Riesz fractional derivative

KM Owolabi, A Atangana - The European Physical Journal Plus, 2016 - Springer
In this paper, dynamics of time-dependent fractional-in-space nonlinear Schrödinger
equation with harmonic potential V(x),x∈R in one, two and three dimensions have been …

270-km ultralong Raman fiber laser

SK Turitsyn, JD Ania-Castañón, SA Babin, V Karalekas… - Physical review …, 2009 - APS
270-km Ultralong Raman Fiber Laser Page 1 270-km Ultralong Raman Fiber Laser SK Turitsyn,1
JD Ania-Castanón,1,2 SA Babin,3 V. Karalekas,1 P. Harper,1 D. Churkin,3 SI Kablukov,3 AE …

[图书][B] Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations

VA Galaktionov, E Mitidieri, SI Pokhozhaev - 2015 - api.taylorfrancis.com
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations Page
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …

Quantification and prediction of extreme events in a one-dimensional nonlinear dispersive wave model

W Cousins, TP Sapsis - Physica D: Nonlinear Phenomena, 2014 - Elsevier
The aim of this work is the quantification and prediction of rare events characterized by
extreme intensity in nonlinear waves with broad spectra. We consider a one-dimensional …

Freely decaying weak turbulence for sea surface gravity waves

M Onorato, AR Osborne, M Serio, D Resio… - Physical review …, 2002 - APS
We study the long-time evolution of deep-water ocean surface waves in order to better
understand the behavior of the nonlinear interaction processes that need to be accurately …