Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 1
Pages
65 - 77
Publication Date
2003/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.1.5How to use a DOI?
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  -