137 citations · 249 across the 6 of their papers we have counts for
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Nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire
E. G. Khamis, A. Gammal, G. A. El +2
The theory of nonlinear diffraction of intensive light beams propagating through photorefractive media is developed. Diffraction occurs on a reflecting wire embedded in the nonline…
Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate
G. A. El, Yu. G. Gladush, A. M. Kamchatnov
Stationary periodic solutions of the two-dimensional Gross-Pitaevskii equation are obtained and analyzed for different parameter values in the context of the problem of a supersoni…
Oblique dark solitons in supersonic flow of a Bose-Einstein condensate
G. A. El, A. Gammal, A. M. Kamchatnov
In the framework of the Gross-Pitaevskii mean field approach it is shown that the supersonic flow of a Bose-Einstein condensate can support a new type of pattern--an oblique dark s…
Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body
G. A. El, A. M. Kamchatnov
Supersonic flow of Bose-Einstein condensate past macroscopic obstacles is studied theoretically. It is shown that in the case of large obstacles the Cherenkov cone transforms into…
Analytic model for a frictional shallow-water undular bore
G. A. El, R. H. J. Grimshaw, A. M. Kamchatnov
We use the integrable Kaup-Boussinesq shallow water system, modified by a small viscous term, to model the formation of an undular bore with a steady profile. The description is ma…
Wave breaking and the generation of undular bores in an integrable shallow-water system
G. A. El, R. H. J. Grimshaw, A. M. Kamchatnov
The generation of an undular bore in the vicinity of a wave-breaking point is considered for the integrable Kaup-Boussinesq shallow water system. In the framework of the Whitham mo…