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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...
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...
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...
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...
Solitons in Maximally Entangled Two Qubit Phase Space
Maximally Entangled Two Qubit Phase Space Quantum Physics
2011/9/29
Abstract: Motivated by M\"obius transformation for symmetrical points under the generalized circle in complex plane, the system of symmetrical spin coherent states corresponding to antipodal qubit sta...
Supercurrent coupling destabilizes knot solitons
Supercurrent coupling destabilizes knot solitons Superconductivity
2011/7/27
Supercurrent coupling destabilizes knot solitons.
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...
The dynamics of dark solitons in a trapped superfluid Fermi gas
dynamics of dark solitons trapped superfluid Fermi gas
2010/11/24
We study soliton oscillations in a trapped superfluid Fermi gas across the Bose-Einstein conden-sate to Bardeen-Cooper-Schrieffer (BEC-BCS) crossover. We derive an exact equation relating the phase ju...
Matter-wave 2D solitons in crossed linear and nonlinear optical lattices
Matter-wave 2D solitons crossed linear nonlinear optical lattices
2010/11/16
It is demonstrated the existence of multidimensional matter-wave solitons in a crossed optical lattice (OL) with linear OL in the $x-$direction and nonlinear OL (NOL) in the $y-$direction, where the ...
Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials
periodic waves solitons the nonlinear Schrodinger equation
2010/11/18
Exact solutions for the generalized nonlinear Schr\"odinger (NLS) equation with inhomogeneous complex linear and nonlinear potentials are found. We have found localized and periodic solutions for a w...
Chirped Dissipative Solitons
Chirped Dissipative Solitons nonlinear complex Ginzburg-Landau equation
2010/4/1
The analytical theory of chirped dissipative soliton solutions of nonlinear complex Ginzburg-Landau equation is exposed. Obtained approximate solutions are easily traceable within an extremely broad r...
Stability of Multipole-mode Solitons in Thermal Nonlinear Media
Multipole-mode Solitons Thermal Nonlinear Media
2010/4/1
We study the stability of multipole-mode solitons in one-dimensional thermal nonlinear media. We show how the sample geometry impacts the stability of mutlipole-mode solitons and reveal that the tripo...