On Negatons of the Toda Lattice

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/).

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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  -