Interaction of Two Pulses in Defocusing Nonlinear Schrodinger Equation
نویسندگان
چکیده
منابع مشابه
Asymptotic behavior of the self-defocusing nonlinear Schrodinger equation for piecewise constant initial conditions
In this paper we use a transfer matrix method to calculate the asymptotic behavior of the nonlinear Schrödinger (NLS) equation in a self-defocusing medium for piecewise constant initial conditions. Treating initial conditions that consist of m repeated regions, we show that the eigenvalues associated with this problem appear in bands, and, as m tends to infinity, we obtain the eigenvalue densit...
متن کاملOn the Whitham Equations for the Defocusing Nonlinear Schrodinger Equation with Step Initial Data
The behavior of solutions of the finite-genus Whitham equations for the weak dispersion limit of the defocusing nonlinear Schrödinger equation is investigated analytically and numerically for piecewiseconstant initial data. In particular, the dynamics of constant-amplitude initial conditions with one or more frequency jumps (i.e., piecewise linear phase) are considered. It is shown analytically...
متن کاملCollapse Turbulence in Nonlinear Schrodinger Equation
Abstract. We consider a nonlinear Schrodinger equation (NLS) with dissipation and forcing in critical dimension. Without both linear and nonlinear dissipation NLS results in a flnite-time singularity (collapse) for any initial conditions. Dissipation ensures collapse regularization. If dissipation is small then multiple near-singular collapses are randomly distributed in space and time forming ...
متن کاملNonlinear Schrodinger Equation in Nematic Liquid Crystals
We derive the amplitude equation, in the weakly nonlinear regime, for an optical wave packet that propagates in an initially undistorted nematic liquid crystal. By using the dyad representation Q i j , we find the retarded and nonlocal equation for the nematic configuration and solve it in Fourier space. This allows us to calculate the amplitude dependent dispersion relation for a nematic liqui...
متن کاملNonlinear Schrodinger equation and frequency saturation
We propose an approach that permits to avoid instability phenomena for the nonlinear Schrödinger equations. We show that by approximating the solution in a suitable way, relying on a frequency cut-off, global well-posedness is obtained in any Sobolev space with nonnegative regularity. The error between the exact solution and its approximation can be measured according to the regularity of the e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2013
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/435/1/012034