Breakdown of Zakharov-Shabat theory and soliton creation

Alan C. Newell, Larry G. Redekopp

Research output: Contribution to journalArticle

60 Scopus citations


The Zakharov-Shabat theory of integrable systems with more than one spatial dimension breaks down when certain resonances between solitons occur. Remarkably, the resonance condition is precisely the same as that for the strong interaction of three weakly coupled linear dispersive waves. This provides a mechanism for the creation of new particles by collision.

Original languageEnglish (US)
Pages (from-to)377-380
Number of pages4
JournalPhysical review letters
Issue number8
StatePublished - Jan 1 1977
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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