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Using numerical modeling investigated interaction of solitary waves (solitons) of the regularized long wave equation. For reception the stable model of the nonlinear medium are used methods of the linear prediction and progressive…

Pattern Formation and Solitons · Physics 2007-05-23 Yu. A. Bunyak

We present fluid dynamics videos of the motion of a boat on a two-layer or three-layer fluid. Under certain specific conditions, this setup generates large amplitude interfacial waves, while no surface waves are visible. The boat is slowed…

Fluid Dynamics · Physics 2008-10-10 Romain Vasseur , Matthieu Mercier , Thierry Dauxois

Spinning ice discs in nature have been reported for more than a century, yet laboratory experiments have yielded diverse observations and contradictory explanations, leaving the mechanism behind the disc motion elusive. Here we combine…

Fluid Dynamics · Physics 2025-11-18 Min Li , Lailai Zhu

Although extreme or freak waves are repeatedly measured in the oceans, their origin is largely unknown. The interaction of different water waves is seen as one reason for their emergence. One way to consider nonlinear waves in deep water is…

Pattern Formation and Solitons · Physics 2020-08-28 Hendrik Fischer , Marten Hollm , Leo Dostal

A recent surge of discoveries has sparked significant interest in active systems where a particle moves autonomously in resonance with its self-generated wave field, leading to notable wave-mediated effects including new propulsion…

Soft Condensed Matter · Physics 2026-05-26 Austin M. Blitstein , Rodolfo R. Rosales , Pedro J. Sáenz

A dynamical phase transition from reversible to irreversible behavior occurs when particle suspensions are subjected to uniform oscillatory shear, even in the Stokes flow limit. We consider a more general situation with non-uniform strain…

Fluid Dynamics · Physics 2015-05-18 Jeffrey S. Guasto , Andrew S. Ross , J. P. Gollub

We describe a simple mechanical system, a ball rolling along a specially-designed landscape, that mimics the dynamics of a well known phenomenon, the two-bounce resonance of solitary wave collisions, that has been seen in countless…

Chaotic Dynamics · Physics 2015-06-24 Roy H. Goodman , Aminur Rahman , Michael Bellanich , Catherine Morrision

The numerical simulation of the nonlinear dynamics of the sea surface has shown that the collision of two groups of relatively low waves with close but noncollinear wave vectors (two or three waves in each group with a steepness of about…

Fluid Dynamics · Physics 2016-02-12 V. P. Ruban

Experiments on 2D random water wave propagation in a large wave tank are analyzed when the effect of dispersion changes. A stereoscopic profilometry technique is used to measure the water surface displacement resolved in both time and space…

Solitons are universal nonlinear excitations that appear in settings as varied as optics, water waves, and quantum gases [1-5]. While reduced models of soliton dynamics are well established, their validity and dynamical behaviour in…

Solitons are commonly known as waves that propagate without dispersion. Here we show that they can occur for driven overdamped Brownian dynamics of hard spheres in periodic potentials at high densities. The solitons manifest themselves as…

Statistical Mechanics · Physics 2022-08-25 Alexander P. Antonov , Artem Ryabov , Philipp Maass

Three-dimensional simulations with fully resolved hydrodynamics are performed to study the collective motion of model swimmers in confinement. We show that certain swimming mechanisms can lead to traveling wave-like collective motion even…

Soft Condensed Matter · Physics 2016-04-20 Norihiro Oyama , John Jairo Molina , Ryoichi Yamamoto

We combine experiments, large scale simulations and continuum models to study the emergence of coherent structures in a suspension of magnetically driven microrollers sedimented near a floor. Collective hydrodynamic effects are predominant…

Soft Condensed Matter · Physics 2017-08-31 Blaise Delmotte , Michelle Driscoll , Paul Chaikin , Aleksandar Donev

Zonal jets (ZJ) are prominent coherent structures that spontaneously emerge from the background turbulent state in both stellar and planetary atmospheres. Although formation and maintenance of coherent jets from small scale hydrodynamic…

Fluid Dynamics · Physics 2026-03-10 Eojin Kim , Brian F. Farrell

Ubiquitous nonlinear waves in dispersive media include localized solitons and extended hydrodynamic states such as dispersive shock waves. Despite their physical prominence and the development of thorough theoretical and experimental…

Pattern Formation and Solitons · Physics 2018-04-11 Michelle D. Maiden , Dalton V. Anderson , Nevil A. Franco , Gennady A. El , Mark A. Hoefer

Ocean rogue waves are large and suddenly appearing surface gravity waves, which may cause severe damage to ships and other maritime structures. Despite years of research, the exact origin of rogue waves is still disputed. Linear…

Atmospheric and Oceanic Physics · Physics 2015-07-30 Simon Birkholz , Carsten Brée , Ivan Veselić , Ayhan Demircan , Günter Steinmeyer

This concise review aims to provide a summary of the most relevant recent experimental and theoretical results for solitons, i.e., self-trapped bound states of nonlinear waves, in two- and three-dimensional (2D and 3D) media. In comparison…

Pattern Formation and Solitons · Physics 2023-12-29 Boris A. Malomed

A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the…

Pattern Formation and Solitons · Physics 2013-12-17 David I. Ketcheson , Manuel Quezada de Luna

Dynamics of a classical particle in a one-dimensional, randomly driven potential is analysed both analytically and numerically. The potential considered here is composed of two identical spatially-periodic saw-tooth-like components, one of…

Statistical Mechanics · Physics 2015-06-25 G. Oshanin , J. Klafter , M. Urbakh

The emergence of hydrodynamic bend instabilities in ordered suspensions of active particles is widely observed across diverse living and synthetic systems, and is considered to be governed by dipolar active stresses generated by the…

Soft Condensed Matter · Physics 2026-01-09 Sameer Kumar , Niels de Graaf Sousa , Amin Doostmohammadi