搜索结果: 1-15 共查到“数学 dinger equation”相关记录26条 . 查询时间(0.114 秒)
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
Fast Gaussian wavepacket transforms Gaussian beams Schrodinger equation
2015/7/14
This paper introduces a wavepacket-transform-based Gaussian beam method for solving the Schrödinger equation. We focus on addressing two computational issues of the Gaussian beam method: how to g...
Asymptotics of the Solutions of the Random Schrödinger Equation
Asymptotics of the Solutions Random Schrö dinger Equation
2015/7/14
We consider solutions of the Schrödinger equation with a weak time-dependent random potential. It is shown that when the two-point correlation function of the potential is rapidly decaying, then ...
erbolic Schrödinger map and non-elliptic derivative Schrödinger equation in two spatial dimensions
Hyperbolic Schr¨odinger map Derivative Schr¨odinger equation Gabor frame
2011/1/17
Using the Gabor frame, we get some time-global dispersive estimates for the Schr¨odinger semi-group in anisotropic Lebesgue spaces, which include a time-global maximal function estimate in the space L...
Bound State Solutions of the Schrödinger Equation for Generalized Morse Potential With Position Dependent Mass
Position dependent mass Schr¨odinger Equation Generalized Morse potential
2011/1/19
The effective mass one-dimensional Schr¨odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions
are comput...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic Discrete Non Linear Schrö dinger equation
2011/3/2
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12] we can construct high order numerical schemes, that re...
Normal Form for the Schrödinger equation with analytic non--linearities
Normal Form Schrö dinger equation analytic non--linearities
2011/1/17
We discuss a class of normal forms of the completely resonant non–linear Schr¨odinger equation on a torus. We stress the geometric and combinatorial constructions arising from this study. Further anal...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic integrators Discrete Non Linear Schrö dinger equation
2010/12/28
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12]we can construct high order numerical schemes, that res...
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
Symmetry-breaking bifurcation nonlinear Schrö dinger equation symmetric potentials
2011/2/22
We consider the focusing (attractive) nonlinear Schr¨odinger (NLS) equation with an external,
symmetric potential which vanishes at infinity and supports a linear bound state. We prove that
the symm...
Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation
Surface Gap Soliton Ground States the Nonlinear Schrö dinger Equation
2010/11/18
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
On the Uniqueness of Solutions of the Schrödinger Equation on Riemannian Symmetric Spaces of the Noncompact Type
the Schrö dinger Equation Riemannian Symmetric Spaces the Noncompact Type
2010/11/11
Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schr\"odinger equation on X with square integrable initial condition f is identically ze...
Plane wave stability of some conservative schemes for the cubic Schrödinger equation
Plane wave conservative schemes the cubic Schrö dinger equation
2010/11/11
The plane wave stability properties of the conservative schemes of Besse and Fei et al. for the cubic Schr\"{o}dinger equation are analysed. Although the two methods possess many of the same conserva...
Remarks on Scattering Properties of the Solution to a Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
Nonlinear Schr¨odinger equation Global existence Scattering property
2010/11/29
In this paper, we consider the Cauchy problem of Nonlinear Schr¨odinger equationiut + u = λ1|u|p1u + λ2|u|p2u, t ∈ R, x ∈ RN u(0, x) = ϕ(x), x ∈ RN,where N ≥ 3, 0 < p1 < p2 < 4
N−2 , λ1 ...
Solution for a non linear Schrödinger equation via Hopf-Cole transformation
non linear Schrö dinger equation Hopf-Cole transformation
2010/11/26
In this short letter we show that the one dimensional non linear Schr¨odinger equation(NLS)can be solved by a Hopf-Cole transformation which converts it to the Burgers equation in turbulence.
Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
Remarks Solution of the Position Dependent Mass (PDM) Schrö dinger Equation
2010/12/15
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The
procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...
Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
Remarks Solution of the Position Dependent Mass (PDM) Schrö dinger Equation
2010/12/15
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The
procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...