Quasi-Linear Dynamics in Nonlinear Schrödinger Equation with Periodic Boundary Conditions

被引：0
作者：
M. Burak Erdoğan
Vadim Zharnitsky
机构：
[1] University of Illinois,Department of Mathematics
来源：
Communications in Mathematical Physics | 2008年 / 281卷
关键词：
Soliton; Initial Data; Discrete Breather; Implicit Constant; Cancellation Property;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is shown that a large subset of initial data with finite energy (L2 norm) evolves nearly linearly in nonlinear Schrödinger equation with periodic boundary conditions. These new solutions are not perturbations of the known ones such as solitons, semiclassical or weakly linear solutions.
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页码：655 / 673
页数：18
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