Journal of Nonlinear Mathematical Physics

Volume 11, Issue 2, May 2004, Pages 180 - 198

Soliton Collisions and Ghost Particle Radiation

Authors
Hiêú D. Nguyêñ
Corresponding Author
Hiêú D. Nguyêñ
Received 9 July 2003, Accepted 1 October 2003, Available Online 1 May 2004.
DOI
10.2991/jnmp.2004.11.2.4How to use a DOI?
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
© 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 2
Pages
180 - 198
Publication Date
2004/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.2.4How 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  - Hiêú D. Nguyêñ
PY  - 2004
DA  - 2004/05/01
TI  - Soliton Collisions and Ghost Particle Radiation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 180
EP  - 198
VL  - 11
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.2.4
DO  - 10.2991/jnmp.2004.11.2.4
ID  - Nguyêñ2004
ER  -