Strange Tori of the Derivative Nonlinear Schrödinger Equation

被引：0
|
作者：
Y. Charles Li
机构：
[1] University of Missouri,Department of Mathematics
来源：
Letters in Mathematical Physics | 2007年 / 80卷
关键词：
primary 35; 37; secondary 34; 78; strange torus; derivative nonlinear Schrödinger equation; Lax pair; Darboux transformation; Floquet theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Under periodic boundary condition, the derivative nonlinear Schrödinger equation is studied. By virtue of Darboux transformations, I show that its level set can contain many disconnected tori of different dimensions. Such a picture was not seen before. I also give a formula for diffusions along these tori. The open problem on invariant manifolds is discussed.
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页码：83 / 99
页数：16
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