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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On constructions of Lax representations: some examples
松弛表示 构造 非线性数学物理方程 KdV方程
2023/4/24
著名数学家Peter Lax 在1968年将重要的非线性数学物理方程---KdV方程表示为一个算子方程， 即给出了KdV方程的Lax表示或Lax对。Lax对在孤立子理论的发展中扮演者重要角色，可以看成是研究可积系统的出发点。但如何构造一个给定非线性系统的Lax表示却是非常困难的问题。本报告在概述Lax表示历史的基础上，以Boris Kupershmidt提出的两个非线性发展型方程为具体例子，介绍L...
An effective approach to the problem of time: general features and examples
effective time general features examples
2010/12/20
The effective approach to quantum dynamics allows a reformulation of the Dirac quantization
procedure for constrained systems in terms of an infinite-dimensional constrained system of classical type....
Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
Trace formula for dielectric cavities pseudo-integrable chaotic examples
2010/10/27
Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE 78, 056202 (2008), Ref. [3]] the trace formula f...