搜索结果: 1-15 共查到“数学 Schrodinger equation”相关记录16条 . 查询时间(0.058 秒)
Growth of Sobolev norms in the cubic defocusing nonlinear Schrodinger equation
Sobolev norms cubic defocusing nonlinear Schrodinger equation
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2015/9/25
We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
SELF-AVERAGING FROM LATERAL DIVERSITY IN THE ITO-SCHRODINGER EQUATION
Random media Parabolic approximation Stochastic partial differential equations
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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...
Long time energy transfer in the random Schrodinger equation
Long time energy transfer random Schrodinger equation
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2015/7/14
We consider the long time behavior of solutions of the d-dimensional linear Boltzmann equation that arises in the weak coupling limit for the Schrodinger equation with a time-dependent random potentia...
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation
Schrodinger Equation Absorbing Boundary FDTD Method Stability
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2013/1/30
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schr?dinger equation in an iterative process. However, the method...
Conservativity of Symplectic Methods for the Ablowitz-Ladik Discrete Nonlinear Schrodinger Equation
Nonlinear Schrdinger Equation Ablowitz-Ladik Model Darboux
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2012/8/7
Using several kinds of Darboux transformations, we standardize the non-
canonical symplectic structure of Ablowitz-Ladik model (A-L model) of the
Nonlinear Schr膐dinger Equation (NLSE), then we emplo...
Schrodinger Equation on homogeneous trees
homogeneous tree nonlinear Schrodinger equation dispersive estimate Strichartz estimate scattering
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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
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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
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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
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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
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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...
Discrete Nonlinear Schrodinger Equation, Solitons and Organizing Principles for Protein Folding
Discrete Nonlinear Schrodinger Equation Solitons Organizing Principles Protein Folding
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2010/12/15
We introduce a novel generalization of the discrete nonlinear Schrodinger equation. It supports solitons that describe how proteins fold. As an example we scrutinize the villin headpiece HP35,an arch...
Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients
Inhomogeneous NLS equation with variable coefficients Similarity transformation
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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
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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...
Canonical reduction of the self-dual Yang-Mills equations to inhomogeneous nonlinear Schrodinger equation and exact solutions
Nonlinear evolution equations Yang-Mills theory
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2010/9/14
The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to two-dimensional inhomogeneous nonlinear Schr¨odinger equation are considered. On the other hand, other methods ...
Tanh-travelling wave solutions and reduction of variable-coefficient unstable nonlinear Schrodinger equation to a quadrature in electron beam plasma
variable -coefficient unstable nonlinear Schrö dinger (vcUNLS) equation travelling wave solutions, RQ method
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2010/9/14
The unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the variable -coefficient unstable nonlinear Schrödinger (vcUNLS) eq...