Soliton collisions and ghost particle radiation

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3 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)180-198
Number of pages19
JournalJournal of Nonlinear Mathematical Physics
Issue number2
StatePublished - 2004

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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