?
Application of the Inverse Scattering Technique to deep water waves
P. 277–282.
We develop a method for the application of the Inverse Scattering Technique to the analysis of surface
water waves and present here some evidence on its efficiency. The general idea is to interpret nonlinear
wave groups in terms of soliton-type structures - envelope solitons in the framework of the integrable
nonlinear Schrodinger equation. Such analysis can improve understanding of the nonlinear wave group
dynamics and, in particular, could help to elaborate tools for short-term forecasting of dangerous waves
in the sea. The technique may also be applied to the problem of the information decoding in soliton based
optical transmission lines.
Slunyaev A., Rozental R., Ginzburg N. et al., Chaos, Solitons and Fractals 2024 Vol. 183 Article 114884
Within the framework of numerical simulations, we study the gyrotron dynamics under conditions of a significant
excess of the operating current over the starting value, when the generation of electromagnetic pulses with
anomalously large amplitudes (“rogue waves”) can be realized. The averaged shape of high-power pulses is
shown to be very close to the celebrated Peregrine breather. At ...
Added: November 22, 2024
Slunyaev A., Physics of Fluids 2024 Vol. 36 No. 7 Article 077101
The evolution of nonlinear wave groups that can be associated with long-lived soliton-type structures is analyzed, based on the data of numerical simulation of irregular deep-water gravity waves with spectra typical to the ocean and different directional spreading. A procedure of the windowed Inverse Scattering Transform, which reveals wave sequences related to envelope solitons of the nonlinear ...
Added: July 3, 2024
A. V. Slunyaev, Shrira V. I., Physics of Fluids 2023 Vol. 35 No. 12 Article 126606
Rogue waves are known to be much more common on jet currents. A possible explanation was put forward in Shrira and Slunyaev
[“Nonlinear dynamics of trapped waves on jet currents and rogue waves,” Phys. Rev. E 89, 041002(R) (2014)] for the waves trapped on
current robust long-lived envelope solitary waves localized in both horizontal directions become possible, ...
Added: December 20, 2023
Белоусов Н. М., Записки научных семинаров ПОМИ РАН 2020 Т. 494 С. 5–22
В заметке приводится новый вывод преобразования Бэклунда для нелинейного уравнения Шредингера. Обсуждается, какие ему соответствуют сохраняющиеся величины и как оно связано с методом обратной задачи. Кроме того, строится квантовый аналог преобразования Бэклунда, задаваемый Q-оператором Бакстера. ...
Added: November 8, 2022
Park I. H., Choi K. -., Hwang J. et al., Journal of Cosmology and Astroparticle Physics 2021 Vol. 2021 No. 11 Article 008
We propose a new method to detect gravitational waves, based on spatial coherence interferometry with stellar light, as opposed to the conventional temporal coherence interferometry with laser sources. The proposed method detects gravitational waves by using two coherent beams of light from a single distant star measured at separate space-based detectors with a long baseline. ...
Added: January 14, 2022
Chabchoub A., Slunyaev A., Hoffmann N. et al., Frontiers in Physics 2021 Vol. 9 Article 633549
Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While the Peregrine breather is known to amplify a single localized perturbation of a carrier wave of finite amplitude by a factor of three, there is a counterpart solution on zero background known as the degenerate ...
Added: August 25, 2021
Ducrozet G., Slunyaev A., Stepanyants Y., Physics of Fluids 2021 Vol. 33 P. 1–14
In this paper, we study the transformation of surface envelope solitons traveling over a bottom step in water of a finite depth. Using the transformation coefficients earlier derived in the linear approximation, we find the parameters of transmitted pulses and subsequent evolution of the pulses in the course of propagation. Relying on the weakly nonlinear theory, the ...
Added: June 28, 2021
Slunyaev A., Physics of Fluids 2021 Vol. 33 Article 036606
The observation of a wave group persisting for more than 200 periods in the direct numerical simulation of nonlinear unidirectional irregular water waves in deep water is discussed. The simulation conditions are characterized by parameters realistic for broad-banded waves in the sea. Through solution of the associated scattering problem for the nonlinear Schr€odinger equation, the group is ...
Added: March 19, 2021
Losiakov V., Тютин И. В., Теоретическая и математическая физика 2019 Т. 199 № 1 С. 142–153
In the framework of general relativity theory, we consider a space-time whose metric depends on only one coordinate and time. We choose a gauge class such that all the constraint conditions of the theory of gravity as a gauge theory are explicitly solved and construct a Hamiltonian depending only on dynamical physical variables (gravitons). We ...
Added: October 31, 2019
Slunyaev A., Ezersky A., Mouazé D. et al., , in: Nonlinear Waves and Pattern Dynamics.: Switzerland: Springer, 2018. P. 67–76.
Arisingmodulations of surface gravitywaves in a shallow-water resonator under harmonic forcing is discovered in laboratory experiments. Different types of modulations are found. When certain conditions are satisfied (appropriate frequency and sufficient force of excitation), the standing waves become modulated, and the envelopes of standing waves propagate in the channel. Strongly nonlinear numerical simulations of the Euler equations are performed reproducing ...
Added: March 1, 2019
Slunyaev A., Известия высших учебных заведений. Радиофизика 2018 Т. 61 № 1 С. 1–23
We propose a method for the analysis of groups of unidirectional waves on the surface of deep water, which is based on spectral data of the scattering problem in the approximation of a nonlinear Schrodinger equation. The main attention is paid to the robustness and accuracy of the numerically obtained spectral data. Various methods of choosing the wave ...
Added: March 1, 2019
Долгов А. Д., Postnov K., Journal of Cosmology and Astroparticle Physics 2017 Vol. 09 No. 018
The transition of powerful gravitational waves, created by the coalescence of massive black hole binaries, into electromagnetic radiation in external magnetic fields is considered. In contrast to the previous calculations of the similar effect we study the realistic case of the gravitational radiation frequency below the plasma frequency of the surrounding medium. The gravitational waves ...
Added: February 14, 2018
Pozanenko A. S., Barkov M. V., Minaev P. Y. et al., Astrophysical Journal Letters 2018 Vol. 852 No. 2 P. 1–18
We present our observations of electromagnetic transients associated with GW170817/GRB 170817A using optical telescopes of Chilescope observatory and Big Scanning Antenna (BSA) of Pushchino Radio Astronomy Observatory at 110 MHz. The Chilescope observatory detected an optical transient of ∼19m on the third day in the outskirts of the galaxy NGC 4993; we continued observations following ...
Added: January 29, 2018
Abbott B. P., Abbott R., Abbott T. D. et al., Astrophysical Journal Letters 2017 Vol. 848 No. 2 P. 1–59
On 2017 August 17 a binary neutron star coalescence candidate (later designated GW170817) with merger time 12:41:04 UTC was observed through gravitational waves by the Advanced LIGO and Advanced Virgo detectors. The Fermi Gamma-ray Burst Monitor independently detected a gamma-ray burst (GRB 170817A) with a time delay of ∼ 1.7 {{s}} with respect to the ...
Added: January 27, 2018