Atlantis Press Paper Details: On Negatons of the Toda Lattice

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.

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title:		On Negatons of the Toda Lattice
publication:		JNMP
volume-issue:		10 - Supplement 2
pages:		181 - 193
ISSN:		1402-9251
DOI:		doi:10.2991/jnmp.2003.10.s2.16 (how to use a DOI)
author(s):		Cornelia SCHIEBOLD
publication date:		December 2003
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:		© Atlantis Press. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
full text:		10s2_15.pdf (423 K)