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We often observe that waves on the surface of shallow water form complex web-like patterns. They are examples of nonlinear waves, and these patterns are generated by nonlinear interactions among several obliquely propagating waves. In this…

Exactly Solvable and Integrable Systems · Physics 2015-06-17 Sarbarish Chakravarty , Yuji Kodama

A linear theory of whistler wave is developed wihtin the paradigm of a two dimensional incompressible electron magnetohydrodynamics model. Exact analytic wave solutions are obtained for a small amplitude whistler wave that exhibit magnetic…

Plasma Physics · Physics 2015-05-13 Dastgeer Shaikh

Utilizing a two-phase supersonic chemically reacting flow solver with the Eulerian-Lagrangian method implemented in OpenFOAM, this study computationally investigates the formation of liquid-fueled oblique detonation waves (ODWs) within a…

Fluid Dynamics · Physics 2024-07-26 Wenhao Wang , Zongmin Hu , Peng Zhang

We analyze a set of bidirectional wave experiments in a linear wave flume of which some are conducive to integrable turbulence. In all experiments the wavemaker forcing is sinusoidal and the wave motion is recorded by seven high-resolution…

Fluid Dynamics · Physics 2022-10-11 Ivan Redor , Hervé Michallet , Nicolas Mordant , Eric Barthélemy

We explore nonlinear transitions of polariton wavepackets, first, to a soliton and then to a standing wave polariton condensate in a multi-mode microwire system. At low polariton density we observe ballistic propagation of the multi-mode…

We investigate the transverse instability of two-component solitons forming in a planar waveguide operating in the regime of strong light-matter coupling. The instability emerges as a result of the coupling between transverse diffraction of…

Pattern Formation and Solitons · Physics 2025-11-07 Alexey V. Yulin , Dmitry A. Zezyulin

It is an open fundamental question how the classical appearance of our environment arises from the underlying quantum many-body theory. We propose that phenomena involved in the quantum-to-classical transition can be probed in collisions of…

Quantum Physics · Physics 2024-04-02 A. Sreedharan , S Kuriyattil , S. Choudhury , R. Mukherjee , A. Streltsov , S. Wüster

We revisit on rational solution of Sasa-Satsuma equation, which can be used to describe evolution of optical field in a nonlinear fiber with some high-order effects. We find a striking dynamical process which involves both modulational…

Pattern Formation and Solitons · Physics 2016-04-08 Li-Chen Zhao , Sheng-Chang Li , Liming Ling

Wavelet basis functions are a natural tool for analyzing turbulent flows containing localized coherent structures of different spatial scales. Here, wavelets are used to study the onset and subsequent transition to fully developed…

Plasma Physics · Physics 2022-04-13 Ari Le , Vadim Roytershteyn , Homa Karimabadi , Adam Stanier , Luis Chacon , Kai Schneider

We consider soliton solutions of a two-dimensional nonlinear system with the self-focusing nonlinearity and a quasi-1D confining potential, taking harmonic potential as an example. We investigate a single soliton in detail and find…

Pattern Formation and Solitons · Physics 2015-05-13 Nguyen Viet Hung , Michal Matuszewski , Marek Trippenbach

We construct families of one-dimensional (1D) stable solitons in two-component $\mathcal{PT}$-symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light…

Optics · Physics 2022-03-02 Gennadiy Burlak , Zhaopin Chen , Boris A. Malomed

We consider the dynamics of internal envelope solitons in a two-layer rotating fluid with a linearly varying bottom. It is shown that the most probable frequency of a carrier wave which constitutes the solitary wave is the frequency where…

Fluid Dynamics · Physics 2019-03-25 Yury Stepanyants

Nonlinear dynamics of the free surface of finite depth non-conducting fluid with high dielectric constant subjected to a strong horizontal electric field is considered. Using the conformal transformation of the region occupied by the fluid…

Fluid Dynamics · Physics 2018-03-14 Evgeny A. Kochurin , Nikolay M. Zubarev

Optomechanical manipulation of nanoparticles enabling ultimate control over their 3D motion is nowadays one of the most highly demanded links between optics, biology, medicine, microfluidics, etc., paving the way for a plethora of emerging…

Optics · Physics 2020-01-08 D. A. Dolinina , A. S. Shalin , A. V. Yulin

The excitation of soliton states in optical layers exhibiting Kerr nonlinearities is theoretically investigated. The optical transmission coefficient is obtained as a function of the nonlinearity power of an incident monochromatic…

In nature turbulent flows exist that are neither simply 2D nor 3D but boundary conditions, such as varying stratification, force them towards the one or the other. Here, we report the first evidence of the co-existence of 2D and 3D…

Fluid Dynamics · Physics 2021-09-03 Raffaele Colombi , Niclas Rohde , Michael Schlüter , Alexandra von Kameke

We propose and theoretically investigate a model to realize cascaded optical nonlinearity with few atoms and photons in one-dimension (1D). The optical nonlinearity in our system is mediated by resonant interactions of photons with…

Optics · Physics 2013-08-20 Dibyendu Roy

Interpretation of random wave field on a shallow water in terms of Fourier spectra is not adequate, when wave amplitudes are not infinitesimally small. A nonlinearity of wave fields leads to the harmonic interactions and random variation of…

Fluid Dynamics · Physics 2018-05-25 J. -P. Giovanangeli , C. Kharif , Y. A. Stepanyants

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

Consider at a finite temperature $T$ a superfluid moving with a velocity $v$ relative to the thermal bath or its normal component. From Landau's argument there exists a critical $v_c (T)$ beyond which excitations can be spontaneously…

High Energy Physics - Theory · Physics 2025-07-17 Shanquan Lan , Hong Liu , Yu Tian , Hongbao Zhang
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