Investigation on breather waves and rogue waves in applied mechanics and physics
Alexandria Engineering Journal, 2021 Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin +4 more
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Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system [PDF]
Scientific ReportsIn 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 +4 more
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Rogue waves: from nonlinear Schrödinger breather solutions to sea-keeping test. [PDF]
PLoS ONE, 2013 Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now ...
Miguel Onorato +3 more
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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
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Super Rogue Waves: Observation of a Higher-Order Breather in Water Waves [PDF]
Physical Review X, 2012 Super rogue waves with an amplitude of up to 5 times the background value are observed in a water-wave tank for the first time. Nonlinear focusing of the local wave amplitude occurs according to the higher-order breather solution of the nonlinear wave ...
A. Chabchoub +3 more
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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
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Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation
Advances in Mathematical Physics, 2022 In this paper, an integrable (2 + 1)-dimensional KdV4 equation is considered. By considering variable transformation and Bell polynomials, an effective and straightforward way is presented to derive its bilinear form.
Sixing Tao
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Analytical solutions and chaotic insights into the Hirota-Maccari system [PDF]
Scientific ReportsThis article discusses the (2 + 1)-dimensional Hirota-Maccari (HM) model, a particular type of Schrödinger equation that addresses various nonlinear phenomena in physics, optics, fluid dynamics, plasma physics, and other scientific areas.
Tarmizi Usman, Mohammad Safi Ullah
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Resonant Akhmediev breathers [PDF]
Scientific ReportsModulation 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
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Interaction solution to the (3+1)-D negative-order KdV first structure
Partial Differential Equations in Applied Mathematics, 2023 We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
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