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of 119
pro vyhledávání: '"Ilan, Boaz"'
The generalized nonlinear Schr\"odinger equation with full dispersion (FDNLS) is considered in the semiclassical regime. The Whitham modulation equations are obtained for the FDNLS equation with general linear dispersion and a generalized, local nonl
Externí odkaz:
http://arxiv.org/abs/2309.13209
Publikováno v:
Studies in Applied Mathematics, 147 724-751 (2021)
The Whitham equation was proposed as a model for surface water waves that combines the quadratic flux nonlinearity $f(u) = \tfrac{1}{2}u^2$ of the Korteweg-de Vries equation and the full linear dispersion relation $\Omega(k) = \sqrt{k\tanh k}$ of uni
Externí odkaz:
http://arxiv.org/abs/2009.02350
Autor:
Taylor, Jessica R., Ilan, Boaz
We use a gradient-decent method to compute 3D ground states of dipolar Bose-Einstein conden- sates. We discover that in highly-prolate traps, whose long axis is parallel to the dipoles, can give rise to candlestick ground states. Direct numerical sim
Externí odkaz:
http://arxiv.org/abs/1805.01110
Publikováno v:
SIAM Journal on Applied Mathematics; 2024, Vol. 84 Issue 4, p1337-1361, 25p
Publikováno v:
Journal of Scientific Computing (2014), Vol. 61, pp. 166-195
A highly accurate numerical scheme is presented for the Serre system of partial differential equations, which models the propagation of dispersive shallow water waves in the fully-nonlinear regime. The fully-discrete scheme utilizes the Galerkin / fi
Externí odkaz:
http://arxiv.org/abs/1306.3321
Autor:
Mendewala, Benaz, Nikolaidou, Katerina, Hoffman, Christine, Sarang, Som, Lu, Jennifer, Ilan, Boaz, Ghosh, Sayantani
Publikováno v:
In Solar Energy 1 May 2019 183:392-397
Autor:
Ilan, Boaz, Weinstein, Michael I.
We consider a class of nonlinear Schrodinger / Gross-Pitaevskii (NLS/GP) equations with periodic potentials, having an even symmetry. We construct "solitons", centered about any point of symmetry of the potential. For focusing (attractive) nonlineari
Externí odkaz:
http://arxiv.org/abs/1002.1986
The standard explanation for multiple filamentation (MF) of intense laser beams has been that it is initiated by input beam noise (modulational instability). In this study we provide the first experimental evidence that MF can also be induced by inpu
Externí odkaz:
http://arxiv.org/abs/nlin/0312008
Publikováno v:
SIAM Journal on Applied Mathematics, 2002 Apr 01. 62(4), 1437-1462.
Externí odkaz:
https://www.jstor.org/stable/3061729
Publikováno v:
In Journal of Quantitative Spectroscopy and Radiative Transfer June 2016 176:122-128