We study the semiclassical behavior of the focusing nonlinear Schrödinger equa-tion in 1+1 dimensions under discontinuous ”barrier ” initial data and we describe the violent oscillations arising in terms of theta functions. The construction of proofs relies on the analysis of the associated Riemann-Hilbert factorization prob-lem. Typeset by AMS-TEX
We consider dispersive shock waves of the focusing nonlinear Schrödinger equation generated by disco...
We consider the semiclassical limit for the focusing nonlinear (cubic) Schrödinger Equation (NLS) in...
AbstractWe consider a nonlinear semi-classical Schrödinger equation for which it is known that quadr...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
Abstract. The small dispersion limit of the focusing nonlinear Schroödinger equation (NLS) exhibits...
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schr...
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schr...
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...
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
International audienceWe consider the effect of real spectral singularities on the long time behavio...
We study the Gaussian semiclassical soliton ensemble, a collection of multisoliton solutions of the ...
We calculate the leading-order term of the solution of the focusing nonlinear (cubic) Schrodinger eq...
We consider dispersive shock waves of the focusing nonlinear Schrödinger equation generated by disco...
We consider the semiclassical limit for the focusing nonlinear (cubic) Schrödinger Equation (NLS) in...
AbstractWe consider a nonlinear semi-classical Schrödinger equation for which it is known that quadr...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
Abstract. The small dispersion limit of the focusing nonlinear Schroödinger equation (NLS) exhibits...
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schr...
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schr...
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...
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
International audienceWe consider the effect of real spectral singularities on the long time behavio...
We study the Gaussian semiclassical soliton ensemble, a collection of multisoliton solutions of the ...
We calculate the leading-order term of the solution of the focusing nonlinear (cubic) Schrodinger eq...
We consider dispersive shock waves of the focusing nonlinear Schrödinger equation generated by disco...
We consider the semiclassical limit for the focusing nonlinear (cubic) Schrödinger Equation (NLS) in...
AbstractWe consider a nonlinear semi-classical Schrödinger equation for which it is known that quadr...