搜索结果: 1-15 共查到“NLS”相关记录29条 . 查询时间(0.671 秒)
In this paper, we investigate the new two-Lévy-index fractional nonlinear Schr？dinger (FNLS) equations with optical lattices, where two fractional derivative terms are introduced to control the diffra...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Almost sure scattering for the cubic NLS on R3T1
R3T1 三次NLS 散射 Cauchy问题
2023/5/18
We consider the Cauchy problem for the defocusing cubic NLS on R3T1 and establish almost sure scattering for random initial data. The main obstacle to extend the classical almost sure scattering resul...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part II discrete case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In the second part, I will mainly focus on two semi-discrete models: Ablowitz-Ladik equation and fully discrete NLS equation. First, I will clarify the connection of these two discrete models with dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part I continuous case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In these two talks, I will present a unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach. I will take the NLS equation as a typical example and show h...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Defocusing NLS equation with nonzero background: Painleve asymptotics in transition region
非零背景 散焦NLS方程 过渡区 疼痛渐近
2023/5/5
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar steepest descent method and double scaling limit, we obtain Painleve asymptotics in two transitio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Defocusing NLS equation with nonzero background: Soliton resolution in soliton region
非零背景 散焦NLS方程 孤子区域 孤子分辨率
2023/5/5
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar generalization of the nonlinear steepest descent method to compute the leading order approximatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On scattering for NLS on waveguide manifolds（III）
NLS 波导流形 散射
2023/5/16
In these series talks, we will give an overview for a direction of NLS results: long time behavior for NLS on waveguide manifolds (semiperiodic spaces). We will discuss the main ideas, main tools to h...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An overlapping domain decomposition splitting algorithm for stochastic NLS equation
随机NLS方程 重叠域 分解拆分 非线性薛定谔方程
2023/4/24
In this talk, we will introduce a novel overlapping domain decomposition splitting algorithm based on a Crank--Nisolson method is developed for the stochastic NLS equation driven by a multiplicative n...
Approximation of Solitons in the Discrete NLS Equation
Discrete soliton one dimensional discrete nonlinear schrodinger equation
2014/12/24
We study four different approximations for finding the profile of discrete solitons in the one- dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximatio...
Local Dynamics Near Unstable Branches of NLS Solitons
Local Dynamics Unstable Branches of NLS Solitons Analysis of PDEs
2012/7/11
Consider a branch of unstable solitons of NLS whose linearized operators have one pair of simple real eigenvalues in addition to the zero eigenvalue. Under radial symmetry and standard assumptions, so...
Soliton dynamics of NLS with singular potentials
Nonlinear Schrodinger equation soliton dynamics singular potentials
2012/6/30
We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schr\"odinger equation in $\R^{N}, N\ge 3$, in presence of a singular external potential.
We study the nature of the Nonlinear Schr\"odinger equation ground states on the product spaces $\R^n\times M^k$, where $M^k$ is a compact Riemannian manifold. We prove that for small $L^2$ masses the...
基于NLS的多机只测角误差配准算法
无源定位 误差配准 非线性最小二乘 克拉美罗限
2013/8/18
多机无源融合定位中的误差配准是目前多传感器误差配中的难点之一。当无源传感器获得的观测量存在系统误差却不进行配准时，多机融合定位的效果将受到严重影响。针对这一情况，在多机只测角无源定位问题中提出了一种基于非线性最小二乘（NLS）的误差配准算法。该算法将多机只测角误差配准问题转换为非线性最小二乘估计问题，并采用高斯–牛顿法求解，即先将非线性量测方程线性化并采用加权最小二乘进行估计，然后进行迭代直至收敛...
The semiclassical limit of focusing NLS for a family of non-analytic initial data
semiclassical limit non-analytic initial data NLS
2011/7/7
The small dispersion limit of the focusing nonlinear Schro\"odinger equation (NLS) exhibits a rich structure of sharply separated regions exhibiting disparate rapid oscillations at microscopic scales....
Quasi-periodic solutions with Sobolev regularity of NLS on T^d with a multiplicative potential
Nonlinear Schr¨odinger equation Nash-Moser Theory
2011/1/19
We prove the existence of quasi-periodic solutions for Schr¨odinger equations with a multiplicative potential on Td, d ≥ 1, merely differentiable nonlinearities, and tangential frequencies constrained...