搜索结果: 1-8 共查到“偏微分方程 Schrodinger equation”相关记录8条 . 查询时间(0.065 秒)
SELF-AVERAGING FROM LATERAL DIVERSITY IN THE ITO-SCHRODINGER EQUATION
Random media Parabolic approximation Stochastic partial differential equations
2015/7/14
We consider the random Schrodinger equation as it arises in the paraxial regime for wave propagation in random media. In the white noise limit it becomes the Ito-Schrodinger stochastic partial differe...
Schrodinger Equation on homogeneous trees
homogeneous tree nonlinear Schrodinger equation dispersive estimate Strichartz estimate scattering
2012/6/21
Let T be a homogeneous tree and L the Laplace operator on T. We consider the semilinear Schrodinger equation associated to L with a power-like nonlinearity F of degree d. We first obtain dispersive es...
Cauchy problem of nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2
Applied mathematics Cauchy problem nonlinear Schrodinger equation local well-posedness scaling limit
2011/10/15
In this paper, we consider in R^n the Cauchy problem for nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2. It is well known that this problem is ill posed. However, We...
On asymptotic stability of moving ground states of the nonlinear Schrodinger equation
asymptotic stability nonlinear Schrodinger equation Analysis of PDEs
2011/9/20
Abstract: We extend to the case of moving solitons, the result on asymptotic stability of ground states of the NLS with a short range linear potential obtained by the author in a previous paper. Now w...
Nonlinear-damping continuation of the nonlinear Schrodinger equation - a numerical study
Nonlinear-damping continuation nonlinear Schrodinger equation Analysis of PDEs
2011/9/13
Abstract: We study the nonlinear-damping continuation of singular solutions of the critical and supercritical NLS. Our simulations suggest that for generic initial conditions that lead to collapse in ...
Delta function singularity in the Reduction of Radial Schrodinger Equation
Laplace operator radial equation boundary condition singular potentials
2010/12/8
We obtain the extra delta-like singularity while reduction of the Laplace operator in spherical coordinates, elimination of which restricts the radial wave functions at the origin. This restriction ha...
Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients
Inhomogeneous NLS equation with variable coefficients Similarity transformation
2010/12/16
The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear Schr¨odinger equation with variable coefficients in terms of rational-like functions by using the similarity transforma...
On the effect of random inhomogeneities in Kerr-media modelled by non-linear Schrodinger equation
Kerr-media modelled non-linear Schrodinger equation
2010/4/6
We consider propagation of optical pulses under the interplay of dispersion and Kerr non-linearity in optical fibres with impurities distributed at random uniformly on the fibre. By using a model base...