Add to ORKGReferences added; more explanations; inaccuracy concerning the initial data fixedWe study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schroedinger equations with a fast periodic potential and a slowly varying confinement potential. A rigorous two-scale WKB-analysis, locally in time, is performed. The main nonlinear phenomenon is a modification of the Berry phase
This book represents the first asymptotic analysis, via completely integrable techniques, of the ini...
Abstract. We consider the semiclassical limit for the nonlinear Schrödinger equation. We introduce a...
Osaka J. Math. 41 (2004), no. 3, 693-725International audienceWe study the asymptotic behaviour of s...
Abstract. We study the simultaneous semi-classical and adiabatic asymp-totics for a class of (weakly...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
We study the semi-classical limit of the Schrodinger equation in a crystal in the presence of an ext...
We derive the semiclassical Bloch dynamics with the second order Berry phase correction, based on a ...
In this letter we give a systematic derivation and justification of the semiclassical model for the ...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The semiclassical equations of motion for a Bloch electron include an anomalous velocity term analog...
We investigate the asymptotic behavior of solutions to semi-classical Schrödinger equations with non...
We consider time-dependent Schrodinger equations with a double well potential and an external nonlin...
Semiclassical analysis and other types of asymptotic analysis are important tools in the study of pa...
We investigate the semiclassical states for weakly coupled nonlinear Schrodinger system
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
This book represents the first asymptotic analysis, via completely integrable techniques, of the ini...
Abstract. We consider the semiclassical limit for the nonlinear Schrödinger equation. We introduce a...
Osaka J. Math. 41 (2004), no. 3, 693-725International audienceWe study the asymptotic behaviour of s...
Abstract. We study the simultaneous semi-classical and adiabatic asymp-totics for a class of (weakly...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
We study the semi-classical limit of the Schrodinger equation in a crystal in the presence of an ext...
We derive the semiclassical Bloch dynamics with the second order Berry phase correction, based on a ...
In this letter we give a systematic derivation and justification of the semiclassical model for the ...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The semiclassical equations of motion for a Bloch electron include an anomalous velocity term analog...
We investigate the asymptotic behavior of solutions to semi-classical Schrödinger equations with non...
We consider time-dependent Schrodinger equations with a double well potential and an external nonlin...
Semiclassical analysis and other types of asymptotic analysis are important tools in the study of pa...
We investigate the semiclassical states for weakly coupled nonlinear Schrodinger system
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
This book represents the first asymptotic analysis, via completely integrable techniques, of the ini...
Abstract. We consider the semiclassical limit for the nonlinear Schrödinger equation. We introduce a...
Osaka J. Math. 41 (2004), no. 3, 693-725International audienceWe study the asymptotic behaviour of s...