143 citations · 776 across the 17 of their papers we have counts for
16 papers
Stability of shear shallow water flows with free surface
Alexander Chesnokov, Gennady El, Sergey Gavrilyuk +1
Stability of inviscid shear shallow water flows with free surface is studied in the framework of the Benney equations. This is done by investigating the generalized hyperbolicity o…
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.…