Results 41 to 50 of about 3,970,466 (307)
Nonlinear Engineering, 2023 In this article, the equation showing the cold bosonic atoms in a zig-zag optical lattice model for some breathers, M-shaped solution and lump soliton solution, homoclinic breather pulses, breather lump pulses, periodic-cross kink wave, kink cross ...
Rizvi Syed T. R. +2 more
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Complexity, 2020 We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics. By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural
Jing Wang, Biao Li
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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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Rational and Semi-Rational Solutions to the (2 + 1)-Dimensional Maccari System
Axioms, 2022 The KP hierarchy reduction method is one of the most reliable and efficient techniques for determining exact solitary wave solutions to nonlinear partial differential equations.
Yong Zhang, Huan-He Dong, Yong Fang
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Rogue waves: from nonlinear Schrödinger breather solutions to sea-keeping test.
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 Solutions of N-wave Equations
, 2012 We consider $N$-wave type equations related to symplectic and orthogonal algebras. We obtain their soliton solutions in the case when two different $\mathbb{Z}_2$ reductions (or equivalently one $\mathbb{Z}_{2} \times \mathbb{Z}_{2}$-reduction) are imposed.
Gerdjikov, Vladimir, Valchev, Tihomir
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Breathers as homoclinic geometric wave maps
Physica D: Nonlinear Phenomena, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shatah, Jalal, Strauss, Walter
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Akhmediev breathers and Peregrine solitary waves in a quadratic medium [PDF]
Optics Letters, 2017 We investigate the formation of optical localized nonlinear structures, evolving upon a non-zero background plane wave, in a dispersive quadratic medium. We show the existence of quadratic Akhmediev breathers and Peregrine solitary waves, in the regime of cascading second-harmonic generation.
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Rational breather waves in a nonlinear vibration system
Journal of Low Frequency Noise, Vibration and Active Control, 2019 A nonlinear vibration system behaviors always periodically; however, sometimes a vibrating structure, e.g. an empty oil tank, will be collapsed suddenly. This can be explained as a kind of rogue waves.
Zitian Li
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Peregrine Soliton as a Limiting Behavior of the Kuznetsov-Ma and Akhmediev Breathers
Frontiers in Physics, 2021 This article discusses a limiting behavior of breather solutions of the focusing nonlinear Schrödinger equation. These breathers belong to the family of solitons on a non-vanishing and constant background, where the continuous-wave envelope serves as a ...
Natanael Karjanto
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