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Laboratory experimental results are presented for nonlinear Internal Solitary Waves (ISW) propagation in deep water configuration with miscible fluids. The results are validated against direct numerical simulations and traveling wave exact…

The presence of spatial inhomogeneity in a nonlinear medium restricts the formation of Solitary Waves (SW) on a discrete set of positions whereas a nonlocal nonlinearity tends to smooth the medium response by averaging over neighboring…

斑图形成与孤子 · 物理学 2019-11-27 Konstantinos Dragonas , Yannis Kominis

Interactions between internal solitary waves and floating canopies of varying length and porosity are examined via laboratory experiments and complementary simulations for a miscible, two-layer system. In both approaches, internal solitary…

流体动力学 · 物理学 2025-12-05 Jen-Ping Chu , Mitul Luhar , Patrick Lynett

We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave in a two-layer fluid system. We show that interfacial…

斑图形成与孤子 · 物理学 2019-07-29 Shixiao W. Jiang , Gregor Kovačič , Douglas Zhou

Weakly nonlinear internal wave-wave interaction is a key mechanism that cascades energy from large to small scales, leading to ocean turbulence and mixing. Oceans typically have a non-uniform density stratification profile; moreover,…

流体动力学 · 物理学 2022-07-13 Saranraj Gururaj , Anirban Guha

Effects of wave-wave interactions on ocean swell are studied. Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation at long times up to $10^6$ seconds are presented. Basic…

大气与海洋物理 · 物理学 2017-06-28 Sergei I. Badulin , Vladimir E. Zakharov

A fully kinetic simulation approach, treating each plasma component based on the Vlasov equation, is adopted to study the disintegration of an initial density perturbation (IDP) into a number of ion-acoustic solitary waves (IASWs) in the…

等离子体物理 · 物理学 2016-10-06 S. M. Jenab , F. Spanier

The interaction of a solitary wave and a slowly varying mean background or flow for the Serre-Green-Naghdi (SGN) equations is studied using Whitham modulation theory. The exact form of the three SGN-Whitham modulation equations -- two for…

数学物理 · 物理学 2025-08-13 Thibault Congy , Gennady El , Sergey Gavrilyuk , Mark Hoefer , Keh-Ming Shyue

Mountain-generated inertia-gravity waves (IGWs) affect the dynamics of both the atmosphere and the ocean through the mean force they exert as they interact with the flow. A key to this interaction is the presence of critical-level…

流体动力学 · 物理学 2017-04-05 Jin-Han Xie , Jacques Vanneste

The dynamics of perturbations to large-amplitude Internal Solitary Waves (ISW) in two-layered flows with thin interfaces is analyzed by means of linear optimal transient growth methods. Optimal perturbations are computed through…

流体动力学 · 物理学 2018-03-14 Pierre-Yves Passaggia , Karl R. Helfrich , Brian L. White

The shoaling of high-amplitude Internal Solitary Waves (ISWs) of depression in the South China Sea (SCS) is examined through large-scale parallel turbulence-resolving high-accuracy/resolution simulations. A select, near-isobath-normal,…

In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid…

斑图形成与孤子 · 物理学 2015-06-22 A. Alias , R. H. J. Grimshaw , K. R. Khusnutdinova

The nonlinear theory of two-dimensional ion-acoustic (IA) solitary waves and shocks (SWS) is revisited in a dissipative quantum plasma. The effects of dispersion, caused by the charge separation of electrons and ions and the quantum force…

等离子体物理 · 物理学 2015-06-23 A. P. Misra , B. Sahu

Three (2+1)-dimensional equations, they are KP equation, cylindrical KP equation and spherical KP equation, have been reduced to the same KdV equation by different transformation of variables respectively. Since the single solitary wave…

可精确求解与可积系统 · 物理学 2017-01-24 Xiang-Zheng Li , Jin-Liang Zhang , Ming-Liang Wang

The internal-wave (IW) continuum of a regional ocean model is studied in terms of the vertical spectral kinetic-energy (KE) fluxes and transfers at high vertical wavenumbers. Previous work has shown that this model permits a partial…

Across the stable density stratification of the abyssal ocean, deep dense water is slowly propelled upward by sustained, though irregular, turbulent mixing. The resulting mean upwelling determines large-scale oceanic circulation properties…

In this paper we study existence and asymptotic behavior of solitary-wave solutions for the generalized Shrira equation, a two-dimensional model appearing in shear flows. The method used to show the existence of such special solutions is…

偏微分方程分析 · 数学 2017-05-05 Amin Esfahani , Ademir Pastor

We review the theory of wave interaction in finite and infinite depth. Both of these strands of water-wave research begin with the deterministic governing equations for water waves, from which simplified equations can be derived to model…

流体动力学 · 物理学 2019-09-11 Raphael Stuhlmeier , Teodor Vrecica , Yaron Toledo

In this paper we derive a higher-order KdV equation (HKdV) as a model to describe the unidirectional propagation of waves on an internal interface separating two fluid layers of varying densities. Our model incorporates underlying currents…

可精确求解与可积系统 · 物理学 2025-06-13 David Henry , Rossen I. Ivanov , Zisis N. Sakellaris

Fronts and near-inertial waves are energetic motions in the upper ocean that can interact and provide a route for kinetic energy (KE) dissipation of balanced oceanic flows. A quasilinear model is developed to study the KE exchanges between…

大气与海洋物理 · 物理学 2022-06-20 Subhajit Kar , Roy Barkan
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