Results 31 to 40 of about 3,970,466 (307)
Results in Physics, 2022 In this manuscript, we consider a (3+1)-dimensional Sharma-Tasso-Olver-like (STOL) model, which can be used to describe dispersive wave phenomena in optics, plasmas, quantum physics, and others.
Mohammad Safi Ullah +3 more
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Results in Physics, 2023 The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
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KdV breathers on a cnoidal wave background
Journal of Physics A: Mathematical and Theoretical, 2023 Abstract Using the Darboux transformation for the Korteweg–de Vries equation, we construct and analyze exact solutions describing the interaction of a solitary wave and a traveling cnoidal wave. Due to their unsteady, wavepacket-like character, these wave patterns are referred to as breathers. Both elevation (bright) and depression (dark)
Mark A Hoefer +2 more
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Measurement of a one-dimensional matter-wave quantum breather [PDF]
Physical Review A, 2020 10 pages, 4 figures accepted for publication in Physical Review ...
Piotr Staroń +2 more
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New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation
Abstract and Applied Analysis, 2014 A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and ...
Changfu Liu +3 more
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Two-wave, breather wave solutions and stability analysis to the (2 + 1)-dimensional Ito equation
Journal of Ocean Engineering and Science, 2021 The current study employs the novel Hirota bilinear scheme to investigate the nonlinear model. Thus, we acquire some two-wave and breather wave solutions to the governing equation. Breathers are pulsating localized structures that have been used to mimic
T. Sulaiman +4 more
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Breather solutions of the nonlinear wave equation [PDF]
Communications on Pure and Applied Mathematics, 1991 We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the expansion of the nonlinearity. All terms may be computed thanks to the properties of a 1D Schrödinger equation with two-soliton potential.
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Breather Rogue Waves in Random Seas [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. Additionally, its persistence in random seas has been confirmed in some cases, so that it can also be employed to model rogue ...
J. Wang +3 more
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Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation
Abstract and Applied Analysis, 2014 A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed.
Hanlin Chen, Zhenhui Xu, Zhengde Dai
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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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