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A closed-form analytical solution is found for the nonlinear dynamics of isolated, near-threshold waves in the presence of strong scattering. The proposed solution can be useful in verifying codes across several disciplines, including…

Plasma Physics · Physics 2020-01-17 Vinicius Duarte , Nikolai Gorelenkov

The amplitude equation for an unstable electrostatic wave is analyzed using an expansion in the mode amplitude $A(t)$. In the limit of weak instability, i.e. $\gamma\to 0^+$ where $\gamma$ is the linear growth rate, the nonlinear…

patt-sol · Physics 2009-10-30 John David Crawford , Anandhan Jayaraman

We derived here in a systematic way, and for a large class of scaling regimes, asymptotic models for the propagation of internal waves at the interface between two layers of immiscible fluids of different densities, under the rigid lid…

Analysis of PDEs · Mathematics 2007-12-27 Jerry L. Bona , David Lannes , Jean-Claude Saut

We study hydrodynamic oscillations of a cylindrical Bose gas above the Bose-Einstein transition temperature using the hydrodynamic equations derived by Griffin, Wu and Stringari. This extends recent studies of a cylindrical Bose-condensed…

Condensed Matter · Physics 2009-10-31 T. Nikuni , A. Griffin

An extensive survey of gravitational-wave modes for uniform density stars is presented. The study covers stars ranging in compactness from $R/M=100$ to the limit of stability in general relativity: $R/M = 9/4$. We establish that polar and…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Nils Andersson , Yasufumi Kojima , Kostas D. Kokkotas

Optical thermalization has been recently studied theoretically and experimentally in the 2D spatial evolution of (quasi-)monochromatic light waves propagating in multimode fibers. In this work, we investigate the spatio-temporal equilibrium…

Finite-amplitude low-frequency Alfv\'en waves are commonly found in plasma environments, such as space plasmas, and play a crucial role in ion heating. The nonlinear interaction between oblique Alfv\'en wave spectra and ions has been…

Plasma Physics · Physics 2025-10-10 Jingyu Peng , Jiansen He

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is performed to study the conditions for stability of a suspension of solid particles immersed in a viscous gas. The dissipation in such…

Statistical Mechanics · Physics 2017-03-28 Rubén Gómez González , Vicente Garzó

We study a class of models for nonlinear acoustics, including the well-known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using…

Analysis of PDEs · Mathematics 2024-09-04 Herbert Egger , Marvin Fritz

In this work, we investigate the presence and impact of stable eigenmodes in Rayleigh-B\'{e}nard convection that arises due to a temperature gradient within a fluid system. The nonlinear evolution of the canonical convection system is cast…

Fluid Dynamics · Physics 2025-07-29 Zachary R. Williams , Ava G. Lowe

Nonlinear self-modulation of the dust acoustic waves is studied, in the presence of non-thermal (non-Maxwellian) ion and electron populations. By employing a multiple scale technique, a nonlinear Schrodinger-type equation (NLSE) is derived…

Plasma Physics · Physics 2015-06-26 Ioannis Kourakis , P. K. Shukla

Nonlinear evolution equations of the fourth order and its partial cases are derived for describing nonlinear pressure waves in a mixture liquid and gas bubbles. Influence of viscosity and heat transfer is taken into account. Exact solutions…

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov

An eigenvalue equation, for linear instability modes involving large scales in a convective hydromagnetic system, is derived in the framework of multiscale analysis. We consider a horizontal layer with electrically conducting boundaries,…

Chaotic Dynamics · Physics 2009-11-11 M. Baptista , S. M. A. Gama , V. Zheligovsky

We consider a one-dimensional harmonic crystal with conservative noise, in contact with two stochastic Langevin heat baths at different temperatures. The noise term consists of collisions between neighbouring oscillators that exchange their…

Statistical Mechanics · Physics 2011-09-08 Stefano Lepri , Carlos Mejia-Monasterio , Antonio Politi

One-dimensional systems often possess multiple channels or bands arising from the excitation of transverse degrees of freedom. In the present work, we study the specific processes that dominate the equilibration of multi-channel Fermi gases…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Wade DeGottardi , K. A. Matveev

We have derived the set of reference scaling parameters yielding collapse of isentropic acoustic and thermoacoustic (or heat-release-induced) waves across different pure compressible fluids with an assigned equation of state. The resulting…

Fluid Dynamics · Physics 2017-08-31 Mario Tindaro Migliorino , Carlo Scalo

Satellite observations of acoustic-gravity waves in the polar regions of the atmosphere indicate a close connection of these waves with wind flows. The paper investigates the peculiarities of the propagation of AGWs in spatially…

Atmospheric and Oceanic Physics · Physics 2023-11-09 A. K. Fedorenko , E. I. Kryuchkov , O. K. Cheremnykh , Yu. O. Klymenko , S. V. Melnychuk

Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonlinear evolution equations of the second and the third order…

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov

We develop a model to calculate nonlinear polarization in a nondegenerate four-wave mixing in diamond configuration which includes the effects of hyperfine structure and Doppler broadening. We verify the model against the experiment with…

Atomic Physics · Physics 2015-02-24 Michał Parniak , Wojciech Wasilewski

Significant enhancement of evanescent spatial harmonics inside the slabs of media with extreme optical anisotropy is revealed. This phenomenon results from the pumping of standing waves and has the feature of being weakly sensitive to the…

Optics · Physics 2009-11-13 Pavel A. Belov , Yan Zhao , Yang Hao , Clive Parini