Journal of Nonlinear Mathematical Physics

Volume 10, Issue Supplement 2, December 2003, Pages 181 - 193

On Negatons of the Toda Lattice

Authors
Cornelia Schiebold
Corresponding Author
Cornelia Schiebold
Available Online 1 December 2003.
DOI
10.2991/jnmp.2003.10.s2.16How to use a DOI?
Abstract

Negatons are a solution class with the following characteristic properties: They consist of solitons which are organized in groups. Solitons belonging to the same group are coupled in the sense that they drift apart from each other only logarithmically. The groups themselves rather behave like particles. Moving with constant velocity, they collide elastically with the only effect of a phase-shift. The main result of this article is the rigorous proof of this characterization (including an explicit formula for the phase-shift) in terms of the asymptotic behaviour. To illustrate our result, we also discuss prototypical examples.

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/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 2
Pages
181 - 193
Publication Date
2003/12/01
ISBN
91-974824-0-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s2.16How 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  - Cornelia Schiebold
PY  - 2003
DA  - 2003/12/01
TI  - On Negatons of the Toda Lattice
JO  - Journal of Nonlinear Mathematical Physics
SP  - 181
EP  - 193
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.16
DO  - 10.2991/jnmp.2003.10.s2.16
ID  - Schiebold2003
ER  -