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/).
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 -