Decay of KDV solitons

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3 Scopus citations


A linear eigenvalue decomposition for N-soliton solutions of the Korteweg-de Vries equation was developed. The decomposition was used to obtain a new mathematical explanation of two-soliton interaction in terms of particle decay. It was discovered that the two-soliton 'particles' or pulses which appear in each solution exchange identities upon collision and emit a dual 'ghost' particle pair in order to conserve mass and momentum.

Original languageEnglish (US)
Pages (from-to)874-888
Number of pages15
JournalSIAM Journal on Applied Mathematics
Issue number3
StatePublished - Jan 2003

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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