Results 41 to 50 of about 1,408 (291)
A uniqueness result for the sine-Gordon breather
, 2021 In this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in $\mathbb{R}^N$
Mandel, Rainer
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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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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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Variational methods for breather solutions of nonlinear wave equations
, 2020 We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation $$\partial^2_t U-\Delta U=Q(x)|U|^{p-2}U\quad\text{ on }\mathbb{T}\times\mathbb{R}^N$$ with suitable $N\ge2, p > 2$ and localized nonnegative $Q ...
Scheider, Dominic, Mandel, Rainer
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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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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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Frontiers in Physics, 2022 A class of generalized homoclinic solutions of the nonlinear Schrödinger (NLS) equation in 1+1 dimensions is studied. These are homoclinic breathers that are shown to be derivable from the ratio of Riemann theta functions for the genus-2 solutions of ...
Alfred R. Osborne
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Experiments on wind-perturbed rogue wave hydrodynamics using the Peregrine breather model
, 2013 International audienceBeing considered as a prototype for description of oceanic rogue waves (RWs), the Peregrine breather solution of the nonlinear Schrodinger equation (NLS) has been recently observed and intensely investigated experimentally in ...
Branger, Hubert +10 more
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Results in Physics, 2021 In this paper, we study the generalized Burgers equation with variable coefficients which is considered in soliton theory and generated by considering the Hirota bilinear operators. We retrieve some novel exact analytical solutions, including 2-lump-type
Ziqiang Li +5 more
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Two-wave, breather wave solutions and stability analysis to the (2 + 1)-dimensional Ito equation [PDF]
, 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
Bayram, Mustafa +4 more
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