143 citations · 776 across the 17 of their papers we have counts for
12 papers · 1 filter
Critical density of a soliton gas
Gennady A. El
We quantify the notion of a dense soliton gas by establishing an upper bound for the integrated density of states of the quantum-mechanical Schrödinger operator associated with the…
Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation
A. M. Kamchatnov, Y. -H. Kuo, T. -C. Lin +5
Transcritical flow of a stratified fluid past a broad localised topographic obstacle is studied analytically in the framework of the forced extended Korteweg--de Vries (eKdV), or G…
Undular bore theory for the Gardner equation
A. M. Kamchatnov, Y. -H. Kuo, T. -C. Lin +5
We develop modulation theory for undular bores (dispersive shock waves) in the framework of the Gardner, or extended Korteweg--de Vries, equation, which is a generic mathematical m…
Refraction of dispersive shock waves
G. A. El, V. V. Khodorovskii, A. M. Leszczyszyn
We study a dispersive counterpart of the classical gas dynamics problem of the interaction of a shock wave with a counter-propagating simple rarefaction wave often referred to as t…
Two-dimensional supersonic nonlinear Schrödinger flow past an extended obstacle
G. A. El, A. M. Kamchatnov, V. V. Khodorovskii +2
Supersonic flow of a superfluid past a slender impenetrable macroscopic obstacle is studied in the framework of the two-dimensional defocusing nonlinear Schrödinger (NLS) equation.…
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…