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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...
Growth of Sobolev norms in the cubic defocusing nonlinear Schrodinger equation
Sobolev norms cubic defocusing nonlinear Schrodinger equation
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...
High-order-mode soliton structures in two-dimensional lattices with defocusing nonlinearity
Discrete soliton self-focusing defocusing nonlinear dipole the structure of vortex solitons
2014/12/25
While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far o...
Dipole and quadrupole solitons in optically-induced two-dimensional defocusing photonic lattices
Condensate the scattering length dark soliton optical lattices parabolic magnetic trap
2014/12/25
We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of an...
Solitons and vortices in honeycomb defocusing photonic lattices
Gap soliton two-dimensional photoinduced photonic crystal lattice theory cellular defocusing photorefractive crystal
2014/12/25
Solitons and necklaces in the first band gap of a two-dimensional optically induced honeycomb defocusing photonic lattice are theoretically considered. It is shown that dipoles, soliton necklaces, and...
Global well-posedness and scattering for the defocusing cubic NLS in four dimensions
Global well-posedness scattering the defocusing cubic NLS
2010/11/11
In this short note we present a new proof of the global well-posedness and scattering result for the defocusing energy-critical NLS in four space dimensions obtained previously by Ryckman and Visan. ...
Bright vector solitons in cross-defocusing nonlinear media
vector solitons cross-defocusing nonlinear media
2010/4/2
We study two-dimensional soliton-soliton vector pairs in media with self-focusing nonlinearities and defocing cross-interactions. The general properties of the stationary states and their stability ar...
Direct Approach to Study of Soliton Perturbations of Defocusing
Nonlinear Schrödinger Equation
direct approach soliton perturbation
2007/8/15
2004Vol.42No.6pp.895-898DOI:
Direct Approach to Study of Soliton Perturbations of Defocusing
Nonlinear Schrödinger Equation
YU Hui-You and YAN Jia-Ren
Department o...