Atlantis Press Paper Details: Soliton Collisions and Ghost Particle Radiation

This paper investigates the nature of particle collisions for three-soliton solutions of the Korteweg-de Vries (KdV) equation by describing mathematically the interaction of soliton particles and generation of ghost particle radiation. In particular, it is proven that a collision between any two soliton particles results in an exchange of particle identities and an emission of a ghost particle pair. Moreover, collisions between any two ghost particles results in their fusion and is accompanied by fission of the corresponding anti-ghost particle. Mass and momentum are conserved for both soliton particle decay and ghost particle interaction at all times.

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title:		Soliton Collisions and Ghost Particle Radiation
publication:		JNMP
volume-issue:		11 - 2
pages:		180 - 198
ISSN:		1402-9251
DOI:		doi:10.2991/jnmp.2004.11.2.4 (how to use a DOI)
author(s):		Hiêú D NGUYÊÑ
publication date:		May 2004
abstract:		This paper investigates the nature of particle collisions for three-soliton solutions of the Korteweg-de Vries (KdV) equation by describing mathematically the interaction of soliton particles and generation of ghost particle radiation. In particular, it is proven that a collision between any two soliton particles results in an exchange of particle identities and an emission of a ghost particle pair. Moreover, collisions between any two ghost particles results in their fusion and is accompanied by fission of the corresponding anti-ghost particle. Mass and momentum are conserved for both soliton particle decay and ghost particle interaction at all times.
copyright:		© Atlantis Press. This article is 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:		112art2.pdf (208 K)