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solitons”相关记录66条 . 查询时间(0.243 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamics of multi-solitons to Klein-Gordon equations
多孤子 克莱因-戈登方程 动力学
2023/4/21
I will report my recent joint work with Jacek Jendrej on muti-solitons to the Klein-Gordon equations including their asymptotic stability and classification.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent results on multi-bubble blow-ups and multi-solitons to stochastic nonlinear Schroinger equations
多气泡膨胀 多孤子 随机非线性 Schroinger equations
2023/4/13
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Recent results on multi-bubble blow-ups and multi-solitons to stochastic nonlinear Schroinger equations
多气泡膨胀 多孤子 随机非线性 薛定谔方程
2023/4/18
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Survey of Stability of Peaked Solitons II: Multicomponent Case
峰值孤子 稳定性 多组分案例
2023/4/27
Peaked soliton dynamics is one of the most intriguing features of the Camassa-Holm-type integrable equations. In this talk, I will give a review on the issue of the stability of peaked solitons, inclu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Survey of Stability of Peaked Solitons I: Scalar Case
峰值孤子 稳定性 标量案例
2023/4/27
Peaked soliton dynamics is one of the most intriguing features of the Camassa-Holm-type integrable equations. In this talk, I will give a review on the issue of the stability of peaked solitons, inclu...
Supersymmetric self-gravitating solitons
Theory of soliton 5 d Yang mills completely static gravity and electromagnetism
2014/12/23
We show that the “instantonic” soliton of five-dimensional Yang-Mills theory and the closely related BPS monopole of four-dimensional Yang-Mills/Higgs theory continue to be exact static, and stable, s...
Non-Meissner electrodynamics and knotted solitons in two-component superconductors
Electrodynamics superconductor solitary wave and numerical processing
2014/12/19
I consider electrodynamics and the problem of knotted solitons in two-component superconductors. Possible existence of knotted solitons in multicomponent superconductors was predicted several years ag...
Dark-bright solitons and vortices in Bose-Einstein condensates
Bose-Einstein condensates dark-bright soliton Gross Pitaevskii equations
2014/12/8
This dissertation focuses on the properties of nonlinear waves in Bose-Einstein condensates (BECs). The fundamental model here is the nonlinear Schrodinger equation, the so-called Gross-Pitaevskii (GP...
A Simple Classification of Solitons
A Simple Classification of Solitons Mathematical Physics
2012/6/25
In this report, fundamental educational concepts of linear and non-linear equations and solutions of nonlinear equations from the book High-Temperature Superconductivity: The Nonlinear Mechanism and T...
Two-component solitons under a spatially modulated linear coupling: Inverted photonic crystals and fused couplers
Two-component solitons spatially modulated linear Inverted photonic crystals fused couplers Optics
2012/5/29
We study two-component solitons and their symmetry-breaking bifurcations (SBBs) in linearly coupled photonic systems with a spatially inhomogeneous strength of the coupling. One system models an inver...
Elimination of transverse instability in stripe solitons by one-dimensional lattices
Elimination of transverse stripe solitons one-dimensional lattices Optics
2012/5/28
We demonstrate theoretically and experimentally that the transverse instability of coherent soliton stripes can be greatly suppressed or totally eliminated when the soliton stripes propagate in a one-...
Controlled absorption and all-optical diode action due to collisions of self-induced transparency solitons
Controlled absorption all-optical diode action collisions of self-induced transparency solitons Optics
2012/4/20
We study inelastic collisions of counter-propagating self-induced transparency solitons in a homogeneously broadened two-level medium. The energy of the pulse can be almost totally absorbed in the med...
Dynamics of optomechanical spatial solitons in dual-nanoweb structures
Dynamics of optomechanical spatial solitons dual-nanoweb structures Optics
2012/4/20
We theoretically investigate the stability and dynamics of self-channelled beams that form via nonlocal optomechanical interactions in dual-nanoweb microstructured fibers. These "optomechanicons" repr...
Families of stable and metastable solitons in coupled system of scalar fields
Solitons soliton decay soliton dynamics
2011/9/13
Abstract: In this paper, we obtain stable and metastable soliton solutions of a coupled system of two real scalar fields with five five discrete points of vacua. These solutions have definite topologi...
Spontaneous crystallization and filamentation of solitons in dipolar condensates
Spontaneous crystallization solitons dipolar condensates
2011/8/17
Abstract: Inter-site interactions play a crucial role in polar gases in optical lattices even in the absence of hopping. We show that due to these long-range interactions a destabilized stack of quasi...