Results 41 to 50 of about 1,146 (297)
Results in Physics, 2020 In this paper, a variable-coefficient Boiti–Leon–Manna–Pempinelli equation is to be investigated. We obtain abundant multi-wave, breather wave and lump solutions by using the three waves method, the homoclinic breather approach and the Hirota’s bilinear ...
Jian-Guo Liu, Wang-Ping Xiong
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Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation. [PDF]
PLoS ONE, 2018 In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation.
Wei Liu, Jing Zhang, Xiliang Li
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On the optimal focusing of solitons and breathers in long‐wave models [PDF]
Studies in Applied Mathematics, 2019 AbstractConditions of optimal (synchronized) collisions of any number of solitons and breathers are studied within the framework of the Gardner equation (GE) with positive cubic nonlinearity, which in the limits of small and large amplitudes tends to other long‐wave models, the classic and the modified Korteweg–de Vries equations.
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Variational methods for breather solutions of nonlinear wave equations
Nonlinearity, 2021 Abstract We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation ∂ t
Mandel, Rainer, Scheider, Dominic
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Results in Physics, 2023 The purpose of this research paper is to investigate the (3+1)-dimensional Hirota bilinear equation that arises in nonlinear waves in fluid dynamics, plasma physics and shallow water waves.
Hajar F. Ismael +5 more
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Highly nonlinear wind waves in Currituck Sound: dense breather turbulence in random ocean waves
, 2019 We analyze surface wave data taken in Currituck Sound, North Carolina, during a storm on 4 February 2002. Our focus is on the application of nonlinear Fourier analysis (NLFA) methods (Osborne 2010) to analyze the data set: The approach spectrally ...
Donald T. Resio +9 more
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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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Inducing predefined nonlinear rogue waves on basis of breather solutions
, 2019 Der Peregrine Breather, eine analytische Lösung der Nichtlinearen Schroedingergleichung, wird modifiziert, um punkt- und zeitgenau eine zuvor in Form, Höhe und Steilheit definierte nichtlineare Extremwelle in einen beliebigen gerichteten Seegang zu ...
Witt, Andy
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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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Breather molecular complexes in a passively mode-locked fibre laser
, 2021 Breathing solitons are nonlinear waves in which the energy concentrates in a localized and oscillatory fashion. Similarly to stationary solitons, breathers in dissipative systems can form stable bound states displaying molecule-like dynamics, which are ...
Christophe Finot (2357488) +6 more
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