Journal of Nonlinear Mathematical Physics

Volume 5, Issue 4, November 1998, Pages 417 - 437

On Asymptotic Nonlocal Symmetry of Nonlinear Schrödinger Equations

Authors
W.W. ZACHARY, V.M. SHTELEN
Corresponding Author
W.W. ZACHARY
Available Online 1 November 1998.
DOI
https://doi.org/10.2991/jnmp.1998.5.4.7How to use a DOI?
Abstract
A concept of asymptotic symmetry is introduced which is based on a definition of symmetry as a reducibility property relative to a corresponding invariant ansatz. It is shown that the nonlocal Lorentz invariance of the free-particle Schrödinger equation, discovered by Fushchych and Segeda in 1977, can be extended to Galilei-invariant equations for free particles with arbitrary spin and, with our definition of asymptotic symmetry, to many nonlinear Schrödinger equations. An important class of solutions of the free Schrödinger equation with improved smoothing properties is obtained.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 4
Pages
417 - 437
Publication Date
1998/11
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1998.5.4.7How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - W.W. ZACHARY
AU  - V.M. SHTELEN
PY  - 1998
DA  - 1998/11
TI  - On Asymptotic Nonlocal Symmetry of Nonlinear Schrödinger Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 417
EP  - 437
VL  - 5
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.4.7
DO  - https://doi.org/10.2991/jnmp.1998.5.4.7
ID  - ZACHARY1998
ER  -