搜索结果: 1-13 共查到“nonlinear Schrodinger equations”相关记录13条 . 查询时间(0.109 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Transport properties of Gaussian measures for nonlinear Schrodinger equations
非线性 薛定谔方程 高斯测度 输运性质
2023/11/13
In the statistical study of Hamiltonian PDEs out of the equilibrium (lack of invariant measures), it is a natural question to understand the transport properties for canonical Gaussian measures. The f...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Normalized solutions of nonlinear Schrodinger equations with exponential critical growth
指数临界增长 非线性薛定谔方程 归一化解
2023/5/15
In this talk, we consider normalized solutions of nonlinear Schrodinger equations in the plane when the nonlinearity satisfies an exponential critical growth. To study the normalized solutions by usin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear Schrodinger equations on metric graphs
度量图 非线性 薛定谔方程
2023/5/12
This talk will introduce some topics related to the study of nonlinear Schr?dinger equation on metric graphs, and then show the existence result of concentrated solutions to NLS equations on compact g...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
A local mountain pass type result for a system of nonlinear Schrodinger equations
local mountain pass type nonlinear Schrodinger equations
2015/4/3
A local mountain pass type result for a system of nonlinear Schrodinger equations.
Standing waves with critical frequency for nonlinear Schrodinger equations
Standing waves critical frequency nonlinear Schrodinger equations
2015/4/3
Standing waves with critical frequency for nonlinear Schrodinger equations.
Soliton dynamics in linearly coupled discrete nonlinear Schrodinger equations
Soliton dynamics system coupling discrete nonlinear schrodinger equation
2014/12/24
We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic fiel...
Orbital stability of standing waves of some m-coupled nonlinear Schrodinger equations
standing waves Orbital stability m-coupled nonlinear Schrodinger equations
2011/9/14
Abstract: We extend the notion of orbital stability to systems of nonlinear Schrodinger equations, then we prove this property under suitable assumptions of the local nonlinearity involved.
Breathers and solitons of generalized nonlinear Schrodinger equations as degenerations of algebro-geometric solutions
Breathers solitons nonlinear Schrodinger equations Analysis of PDEs
2011/7/25
Abstract: We present new solutions in terms of elementary functions of the multi-component nonlinear Schr\"odinger equations and known solutions of the Davey-Stewartson equations such as multi-soliton...
On integrability of variable coefficient nonlinear Schrodinger equations
variable coefficient nonlinear Schrodinger Lax pairs technique group-theoretical
2010/4/21
We apply Painlev\'e test to the most general variable coefficient nonlinear Schrodinger (VCNLS) equations as an attempt to identify integrable classes and compare our results versus those obtained by ...
Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Solitary waves inhomogeneous nonlinearities nonlinear Schrodinger equations
2010/4/1
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to cons...
Bose-Einstein Condensates and spectral properties of multicomponent nonlinear Schrodinger equations
soliton solutions scattering data dimensional BEC
2010/4/1
We analyze the properties of the soliton solutions of a class of models describing one-dimensional BEC with spin F. We describe the minimal sets of scattering data which determine uniquely both the co...
On The Analytical Solution of Perturbative Nonlinear Schrodinger Equations with Real Initial and Homogeneous Boundary Conditions
Nonlinear Schrodinger equation Perturbation Eigenfunction expansion
2008/11/10
In this paper, a perturbing nonlinear Schrodinger equation is studied under limited time interval through homogeneous boundary conditions and real initial condition. The analytical solution for the li...