Volume 10, Issue 1, February 2003, Pages 65 - 77
Nonlinear Schrödinger, Infinite Dimensional Tori and Neighboring Tori
Authors
M. Schwarz Jr.
Corresponding Author
M. Schwarz Jr.
Received 23 March 2002, Accepted 17 July 2002, Available Online 1 February 2003.
- DOI
- 10.2991/jnmp.2003.10.1.5How to use a DOI?
- Abstract
In this work, we explain in what sense the generic level set of the constants of motion for the periodic nonlinear Schrödinger equation is an infinite dimensional torus on which each generalized nonlinear Schrödinger flow is reduced to straight line almost periodic motion, and describe how neighboring generic infinite dimensional tori are connected.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - M. Schwarz Jr. PY - 2003 DA - 2003/02/01 TI - Nonlinear Schrödinger, Infinite Dimensional Tori and Neighboring Tori JO - Journal of Nonlinear Mathematical Physics SP - 65 EP - 77 VL - 10 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2003.10.1.5 DO - 10.2991/jnmp.2003.10.1.5 ID - Jr.2003 ER -