Results 11 to 20 of about 1,232,647 (277)
Multi-rogue waves solutions to the focusing NLS equation and the KP-I equation [PDF]
Natural Hazards and Earth System Sciences, 2011 We construct a multi-parametric family of quasi-rational solutions to the focusing NLS equation, presenting a profile of multiple rogue waves. These solutions have also been used by us to construct a large family of smooth, real localized rational ...
P. Dubard, V. B. Matveev
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On the Semiclassical Limit of the General Modified NLS Equation [PDF]
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Desjardins, Benoı̂t, Lin, Chi-Kun
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Asymptotic stability of N-solitons in the cubic NLS equation [PDF]
Journal of Hyperbolic Differential Equations, 2017 We consider the Cauchy problem for the cubic focusing nonlinear Schrödinger (NLS) equation on the line with initial datum close to an [Formula: see text]-soliton. Using the inverse scattering method and the [Formula: see text]-method, we establish the decay of the [Formula: see text]-norm of the residual term in time.
Aaron Saalmann
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Resonant Large Deviations Principle for the Beating NLS Equation [PDF]
SIAM Journal on Mathematical AnalysisWe prove a large deviations principle for the solution to the beating NLS equation on the torus with random initial data supported on two Fourier modes. When these modes have different initial variance, we prove that the resonant energy exchange between them increases the likelihood of extreme wave formation.
Grande, Ricardo
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Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC [PDF]
, 2011 Peer ...
Kaliyaperumal, Nakkeeran +2 more
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Approximation of Solitons in the Discrete NLS Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2008 We study four diferent approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational approach, an approximation to homo- clinic orbits and a Green-function approach), and the other one is a quasi-continuum approximation.
Cuevas, Jesus +4 more
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Solitary wave solutions of the Camassa–Holm-Nonlinear Schrödinger Equation
Results in Physics, 2020 This study investigates the solitary wave solutions to the defocusing nonlinear Schrödinger equation, which is known as Camassa–Holm-Nonlinear Schrödinger (CH-NLS) equation.
Thilagarajah Mathanaranjan
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Some special solutions to the Hyperbolic NLS equation [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2018 33 pages, 10 figures, 70 references. Other author's papers can be found at http://www.denys-dutykh.com/
Laurent Vuillon +2 more
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Results in Physics, 2017 The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. By using the amplitude ansatz method, we derive the exact bright, dark and bright-dark solitary wave soliton solutions of the generalized ...
Aly R. Seadawy, Dianchen Lu
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Results in Physics, 2023 The dynamics of propagation of (2+1)-dimensional ion-acoustic wave (IAW) packets in magnetized electronegative plasma made of negative ions with electrons, both in Boltzmann distribution and cold mobile positive ions is studied.
Stéphanie Ganyou +3 more
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