17 citations · 32 across the 9 of their papers we have counts for
10 papers
WKB analysis of non-elliptic nonlinear Schrodinger equations
Rémi Carles, Clément Gallo
We justify the WKB analysis for generalized nonlinear Schr{ö}dinger equations (NLS), including the hyperbolic NLS and the Davey-Stewartson II system. Since the leading order system…
WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity
Rémi Carles, Clément Gallo
We consider the semi-classical limit of nonlinear Schrodinger equations in the presence of both a polynomial nonlinearity and thederivative in space of a polynomial nonlinearity. B…
On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit II. Analytic regularity
Rémi Carles, Clément Gallo
We consider the time discretization based on Lie-Trotter splitting, for the nonlinear Schrodinger equation, in the semi-classical limit, with initial data under the form of WKB sta…
Scattering for the nonlinear Schrodinger equation with a general one-dimensional confinement
Rémi Carles, Clément Gallo
We consider the defocusing nonlinear Schr{ö}dinger equation in several space dimensions, in the presence of an external potential depending on only one space vari-able. This potent…
The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit
Clement Gallo
We prove existence and uniqueness of a positive solution to a system of two coupled Gross-Pitaevskii equations. We give a full asymptotic expansion of this solution into powers of…
On the Thomas-Fermi approximation of the ground state in a PT-symmetric confining potential
Clement Gallo, Dmitry Pelinovsky
For the stationary Gross-Pitaevskii equation with harmonic real and linear imaginary potentials in the space of one dimension, we study the ground state in the limit of large densi…