Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Sparber, C."'
We consider the nonlinear Schr\"odinger equation with a focusing cubic term and a defocusing quintic nonlinearity in dimensions two and three. The core of this article is the notion of stability of solitary waves. We recall the two standard notions o
Externí odkaz:
http://arxiv.org/abs/2012.11637
We present analytical results and numerical simulations for a class of nonlinear dispersive equations in two spatial dimensions. These equations are of (derivative) nonlinear Schr\"odinger type and have recently been obtained in \cite{DLS} in the con
Externí odkaz:
http://arxiv.org/abs/1805.12351
Using a Fourier spectral method, we provide a detailed numerically investigation of dispersive Schr\"odinger type equations involving a fractional Laplacian. By an appropriate choice of the dispersive exponent, both mass and energy sub- and supercrit
Externí odkaz:
http://arxiv.org/abs/1404.6262
We consider a semi-classically scaled Schr\"odinger equation with WKB initial data. We prove that in the classical limit the corresponding Bohmian trajectories converge (locally in measure) to the classical trajectories before the appearance of the f
Externí odkaz:
http://arxiv.org/abs/1202.3134
Autor:
Klein, C., Sparber, C.
We numerically investigate transverse stability and instability of so-called cnoidal waves, i.e., periodic traveling wave solutions of the Korteweg-de Vries equation, under the time-evolution of the Kadomtsev-Petviashvili equation. In particular, we
Externí odkaz:
http://arxiv.org/abs/1108.3363
The aim of this paper is the accurate numerical study of the KP equation. In particular we are concerned with the small dispersion limit of this model, where no comprehensive analytical description exists so far. To this end we first study a similar
Externí odkaz:
http://arxiv.org/abs/math-ph/0601025
Autor:
Sparber, C., Markowich, P.
We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order $O(\sqrt{\epsilon})$ is performed, where the small semiclassical para
Externí odkaz:
http://arxiv.org/abs/math-ph/0305009
We analyze the long time behavior of transport equations for a class of dissipative quantum systems with Fokker-planck type scattering operator, subject to confining potentials of harmonic oscillator type. We establish the conditions under which ther
Externí odkaz:
http://arxiv.org/abs/math-ph/0204032
Akademický článek
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Publikováno v:
In Journal de mathématiques pures et appliquées October 2014 102(4):782-811
