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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Spatio-temporal breather dynamics in microcomb soliton crystals [PDF]
Light: Science & ApplicationsSolitons, the distinct balance between nonlinearity and dispersion, provide a route toward ultrafast electromagnetic pulse shaping, high-harmonic generation, real-time image processing, and RF photonic communications. Here we uniquely explore and observe
Futai Hu +8 more
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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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Kink dynamics of the sine-Gordon equation in a model with three identical attracting or repulsive impurities [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 Purpose of this work is to use analytical and numerical methods to consider the problem of the structure and dynamics of the kinks in the sine-Gordon model with “impurities” (or spatial inhomogeneity of the periodic potential).
Ekomasov, Evgenii G +4 more
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Nonlinear waves of the sine-Gordon equation in the model with three attracting impurities [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 Purpose of this work is to use analytical and numerical methods to consider the problem of the structure and dynamics of coupled localized nonlinear waves in the sine-Gordon model with impurities (or spatial inhomogeneity of the periodic potential ...
Ekomasov, Evgenii G +3 more
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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation
Mathematics, 2023 This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
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Transformation of the Peregrine Breather Into Gray Solitons on a Vertically Sheared Current
Frontiers in Physics, 2021 In this Brief Research Report, we show, within the framework of the nonlinear Schrödinger equation in deep water and in the presence of vorticity (vor-NLS), that the Peregrine breather traveling at the free surface of a shear current of slowly varying ...
H. C. Hsu +3 more
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M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation
Advances in Mathematical Physics, 2021 The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
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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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Discrete magnetic breathers in monoaxial chiral helimagnet
AIP Advances, 2021 We analyze spatially localized breather excitations for the model of a discrete Heisenberg spin chain, which includes the antisymmetric exchange interaction and single-ion anisotropy of the easy-plane type.
I. G. Bostrem +4 more
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