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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Liouville Properties on gradient shrinking Ricci solitons with constant scalar curvature
常标量 曲率梯度收缩 Ricci孤子 Liouville性质
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2023/11/13
In this talk we show that bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC by frequency function method. As an application, we show that the space of harmonic func...
Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation
Analytical three-dimensional bright solitons soliton-pairs in Bose-Einstein condensates time-space modulation
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2010/12/15
We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional
Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity,and...
Two-dimensional gap solitons in elliptic-lattice potentials
Two-dimensional gap solitons elliptic-lattice potentials
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2010/4/2
We study two-dimensional (2D) matter-wave gap solitons trapped in an elliptically deformed concentric lattice potential, within the framework of the Gross-Pitaevskii equation (GPE) with self-attractio...
Solitons in combined linear and nonlinear lattice potentials
Solitons nonlinear lattice potentials combined linear
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2010/4/1
We study ordinary solitons and gap solitons (GSs) in the effectively one-dimensional Gross-Pitaevskii equation, with a combination of linear and nonlinear lattice potentials. The main points of the an...
On the construction of the KP line-solitons and their interactions
KPequation line-solitons t-function
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2010/4/7
The line-soliton solutions of the Kadomtsev--Petviashvili (KP) equation are investigated in this article using the tau-function formalism. In particular, the Wronskian and the Grammian forms of the ta...