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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric aspects of integrable systems
可集成系统 几何方面 多组件可积系统
2023/4/26
Invariant geometric flows in certain geometries have been studied extensively from different points of view. In this talk, we are mainly concerned with geometric aspects of multi-component integrable ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Application of algebraic curve theory to integrable systems
代数曲线理论 可积系统 紧黎曼曲面
2023/5/5
We first consider the basic theory of algebraic curves, including the compact Riemann surface, Riemann-Hurwitz formula, Baker-Akhiezer function, three kinds of Abelian differentials, the construction ...
Conference "Integrable Systems and Their Applications", Sept. 12-16, 2022
Conference Integrable Systems Applications
2022/9/14
The purpose of the conference is to establish international contacts for the subsequent involvement of world experts in cooperation with Russian scientists in the field of geometry and topology, dynam...
三亚国际数学论坛：Asymptotic,Algebraic and Geometric Aspects of Integrable Systems
三亚国际数学论坛 Asymptotic Algebraic Geometric Aspects Integrable Systems
2017/11/24
Integrable systems involves the study of physically relevant nonlinear equations, which includes many families of well-known, highly important partial and ordinary differential equations. Building on ...
2017年可积系统研讨会（Workshop on Integrable Systems）
2017年 可积系统 研讨会
2017/11/24
We are hosting our fifth annual Workshop on Integrable Systems on 7–8 December 2017 at the School of Mathematics and Statistics, the University of Sydney.
We review several recent results showing that small piecewise smooth perturbations of integrable systems may exhibit unstable behavior on the set of initial condition
of large measure. We also presen...
Orbits of nearly integrable systems accumulating to KAM tori
nearly integrable systems KAM tori
2015/9/25
Orbits of nearly integrable systems accumulating to KAM tori.
Double Bruhat Cells in Kac-Moody Groups and Integrable Systems
Double Bruhat Cells Kac-Moody Groups Integrable Systems Quantum Algebra
2012/4/18
We construct a family of integrable Hamiltonian systems parametrized by pairs of Coxeter elements in the affine Weyl group. Their phase spaces are double Bruhat cells in the corresponding Kac-Moody gr...
Abstract: We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type - a cluster integrable system. The phase space of the classical system ...
On a unified formulation of completely integrable systems
integrable systems Hamiltonian dynamics linear normal forms
2011/7/7
The purpose of this article is to show that a $\mathcal{C}^1$ differential system on $\R^n$ which admits a set of $n-1$ independent $\mathcal{C}^2$ conservation laws defined on an open subset $\Omega\...
A new dynamical reflection algebra and related quantum integrable systems
new dynamical reflection algebra quantum integrable systems
2011/7/7
We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, fusions, an...
Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators
Kupershmidt deformation bi-Hamiltonian systems Rosochatius deformation soliton equation with self-consistent sources
2011/7/6
When both Hamiltonian operators of a bi-Hamiltonian system are
pure differential operators, we show that the generalized Kupershmidt defor-
mation (GKD) developed from the Kupershmidt deformation in...
Explicit Solutions to Boundary Problems for 2+1-Dimensional Integrable Systems
Boundary Problems 2+1-Dimensional Integrable Systems
2011/2/21
Nonlinear integrable models with two spatial and one temporal variables: Kadomtsev-Petviashvili equation and two-dimensional Toda lattice are investigated on the subject of correct formulation for bou...
Explicit Solutions to Boundary Problems for 2+1-Dimensional Integrable Systems
Explicit Solutions to Boundary Problems 2+1-Dimensional Integrable Systems
2010/12/28
Nonlinear integrable models with two spatial and one temporal variables: Kadomtsev-Petviashvili equation and two-dimensional Toda lattice are investigated on the subject of correct formulation for bou...
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation
2011/3/2
We provide a new natural interpretation of the Lax representation for an integrable system; that is, the spectral problem is the linearized form of a Miura transformation between the original system a...