Results 11 to 20 of about 1,408 (291)

Breather Wave Molecules [PDF]

Physical Review Letters, 2019
We present both a theoretical description and experimental observation of the nonlinear mutual interactions between a pair of copropagative breathers in the framework of the focusing one-dimensional nonlinear Schrodinger equation.
Chabchoub, Amin, Kibler, Bertrand, Zakharov, Vladimir, Gelash, Andrey, Xu, Gang   +4 more
core   +5 more sources

Soliton dynamics and stability analysis of a double-chain DNA model with various chaos detection tools [PDF]

Scientific Reports
This investigation employs an analytical approach, specifically the extended Jacobian elliptic expansion function method, to investigate the soliton dynamics of the double-chain model of DNA. Using this scheme, the kink wave, anti-kink wave, dark soliton,
Mohammad Safi Ullah, Rabeya Akter
doaj   +2 more sources

Breather Turbulence: Exact Spectral and Stochastic Solutions of the Nonlinear Schrödinger Equation

Fluids, 2019
I address the problem of breather turbulence in ocean waves from the point of view of the exact spectral solutions of the nonlinear Schrödinger (NLS) equation using two tools of mathematical physics: (1) the inverse scattering transform (IST) for ...
Alfred R. Osborne
doaj   +2 more sources

Persistence of Peregrine Breather in Random Sea States [PDF]

Physical Review Applied, 2018
Rogue waves are widely recognized as great threats to human oceanic activities. The effectiveness of using the Peregrine breather to model rogue waves has been successfully demonstrated in both numerical and physical wave tank.
A. Chabchoub, Chabchoub, A., Ma, Q., Yan, S., J. Wang, S. Yan, Wang, J., Q. W. Ma   +7 more
core   +3 more sources

Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation

Advances in Mathematical Physics, 2021
In this paper, we investigate breather positons and higher-order rogue waves for the nonlocal Fokas-Lenells equation. In this nonlocal optical system, rogue waves can be generated when periods of breather positons go to infinity. In addition, we find two
Chun Wang, Rong Fan, Zhao Zhang, Biao Li
doaj   +2 more sources

Exact breather waves solutions in a spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions [PDF]

Scientific Reports
In this article, the spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time.
Qunyan Zou, Jalil Manafian, Somaye Malmir, K. H. Mahmoud, A. SA. Alsubaie, Nilofer Ali Ewadh, Ihssan Alrekabi   +6 more
doaj   +2 more sources

Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system [PDF]

Scientific Reports
In this manuscript, we investigate various wave forms of an integrable reduced spin Hirota-Maxwell-Bloch system, which accounts for the femtosecond pulses transmitted in an erbium doped fibre.
Baboucarr Ceesay, Muhammad Waqas Yasin, Nauman Ahmed, Muhammad Zafarullah Baber, Ebrima Bittaye   +4 more
doaj   +2 more sources

Resonant Akhmediev breathers [PDF]

Scientific Reports
Modulation instability is a phenomenon in which a minor disturbance within a carrier wave gradually amplifies over time, leading to the formation of a series of compressed waves with higher amplitudes. In terms of frequency analysis, this process results
Amdad Chowdury, Dawn T. H. Tan
doaj   +2 more sources

Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system [PDF]

Nonlinear Dynamics, 2021
Abstract In this paper, we will obtain the exact $N$-soliton solution of the coupled long-wave-short-wave system via the developed Hirota bilinear method. Through manipulating the relevant parameters, we will construct different types of solutions which include breather-like solutions and dark-soliton-breather-like solutions.
Kuai Bi, Hui-Qin Hao, Jian-Wen Zhang, Rui Guo   +3 more
openaire   +2 more sources

Creation and Characterization of Matter-Wave Breathers [PDF]

Physical Review Letters, 2020
We report the creation of quasi-1D excited matter-wave solitons, "breathers", by quenching the strength of the interactions in a Bose-Einstein condensate with attractive interactions. We characterize the resulting breathing dynamics and quantify the effects of the aspect ratio of the confining potential, the strength of the quench, and the proximity of
D. Luo, Y. Jin, J. H. V. Nguyen, B. A. Malomed, O. V. Marchukov, V. A. Yurovsky, V. Dunjko, M. Olshanii, R. G. Hulet   +8 more
openaire   +4 more sources