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Recent developments of the weak turbulence theory applied to internal waves exhibit a power-law solution of the kinetic energy equation close to the oceanic Garrett \& Munk spectrum, confirming weakly nonlinear wave interactions as a likely…

This paper considers the propagation of shallow-water solitary and nonlinear periodic waves over a gradual slope with bottom friction in the framework of a variable-coefficient Korteweg-de Vries equation. We use the Whitham averaging…

Pattern Formation and Solitons · Physics 2007-09-23 G. A. El , R. H. J. Grimshaw , A. M. Kamchatnov

Propagation of coherent light in a Kerr nonlinear medium can be mapped onto a flow of an equivalent fluid. Here we use this mapping to model the conditions in the vicinity of a rotating black hole as a Laguerre-Gauss vortex beam. We…

Periodic waves in the fractional Korteweg-de Vries equation have been previously characterized as constrained minimizers of energy subject to fixed momentum and mass. Here we characterize these periodic waves as constrained minimizers of…

Analysis of PDEs · Mathematics 2020-04-22 Fabio Natali , Uyen Le , Dmitry E. Pelinovsky

Low energy imprints of modifications to general relativity are often found in pressure balance equations inside stars. These modifications are then amenable to tests via astrophysical phenomena, using observational effects in stellar…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Debojyoti Garain , Pritam Banerjee , Shaswata Chowdhury , Tapobrata Sarkar

Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitude waves, we find the exact solutions of the…

Mathematical Physics · Physics 2011-06-21 Delia Ionescu-Kruse

We consider two interacting systems when one is treated classically while the other system remains quantum. Consistent dynamics of this coupling has been shown to exist, and explored in the context of treating space-time classically. Here,…

Quantum Physics · Physics 2023-12-07 Jonathan Oppenheim , Carlo Sparaciari , Barbara Šoda , Zachary Weller-Davies

Existence of a minimal length in spacetime geometries avoids several singular situations involving quantum theory and gravity. In this work, we show that the existence of such a minimal length also affects the gravitational wave (GW)…

General Relativity and Quantum Cosmology · Physics 2025-05-30 N. V. Krishnendu , Aldo Perri , Sumanta Chakraborty , Alessandro Pesci

The theory of gravitational wave turbulence describes the long-term statistical behaviour of a set of weakly nonlinear interacting waves. In this paper, we aim to study aspects of gravitational turbulence within the framework of general…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Benoît Gay , Eugeny Babichev , Sébastien Galtier , Karim Noui

We look for classical traces of the Unruh effect in gravity waves. For this purpose, we start considering a white noise state of gravity waves on the surface of a water basin and calculate the two- and four-point functions of the Fourier…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Guilherme B. Barros , Joao P. C. R. Rodrigues , Andre G. S. Landulfo , George E. A. Matsas

Effects of subgrid-scale gravity waves (GWs) on the diurnal migrating tides are investigated from the mesosphere to the upper thermosphere for September equinox conditions, using a general circulation model coupled with the extended…

Atmospheric and Oceanic Physics · Physics 2017-04-26 Erdal Yiğit , Alexander S. Medvedev

We develop an effective approach for the study of the interaction of gravitational waves (GWs) and electromagnetic waves (EMWs), showing that quadrirefringence can be produced, a phenomenon consisting in a frequency and polarization…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Antonio Enea Romano , Sergio A. Vallejo-Peña

Gravitational waves (GWs) influence the arrival times of radio signals coming from pulsars. Here, we investigate the harmonic space approach to describing a pulsar's response to GWs. We derive and discuss the "diagonalized form" of the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Bruce Allen

Analytical investigation of the properties of $s$-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out employing the Sturm-Liouville eigenvalue method . We obtain the…

High Energy Physics - Theory · Physics 2023-05-03 Diganta Parai , Suchetana Pal , Sunandan Gangopadhyay

Alternative theories of gravity predict the presence of massive scalar, vector, and tensor gravitational wave modes in addition to the standard massless spin~2 graviton of general relativity. The deflection and frequency shift effects on…

General Relativity and Quantum Cosmology · Physics 2009-10-29 S. Bellucci , S. Capozziello , M. De Laurentis , V. Faraoni

The Hellings-Downs (HD) correlation serves as the fundamental benchmark for detecting the gravitational-wave background (GWB) in pulsar timing arrays (PTAs) within General Relativity (GR). However, this canonical signature relies on the…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Yan-Chen Bi , Yu-Mei Wu , Qing-Guo Huang

We perform experiments to study the inverse cascade regime of gravity wave turbulence on the surface of a fluid. Surface waves are forced at an intermediate scale corresponding to the gravity-capillary wavelength. In response to this…

Fluid Dynamics · Physics 2011-10-27 Luc Deike , Claude Laroche , Eric Falcon

Variable-coefficient Korteweg - de Vries equation is applied to describe the interfacial wave transformation in two-layer fluid of variable depth. The soliton dynamics in this fluid is studied. The solitary wave breaks in two transient…

Atmospheric and Oceanic Physics · Physics 2012-10-08 I. Didenkulova , T. Talipova , E. Pelinovsky , O. Kurkina , A. Rodin , A. Pankratov , A. Naumov , A. Giniyatullin

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

The topographical scattering of gravity waves is investigated using a spectral energy balance equation that accounts for first order wave-bottom Bragg scattering. This model represents the bottom topography and surface waves with spectra,…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Rudy Magne , Fabrice Ardhuin , Vincent Rey , Thomas H. C. Herbers