Breakdown of Zakharov-Shabat theory and soliton creation

Alan C Newell, Larry G. Redekopp

Research output: Contribution to journalArticle

60 Citations (Scopus)

Abstract

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
Volume38
Issue number8
DOIs
StatePublished - 1977
Externally publishedYes

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solitary waves
breakdown
collisions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Breakdown of Zakharov-Shabat theory and soliton creation. / Newell, Alan C; Redekopp, Larry G.

In: Physical Review Letters, Vol. 38, No. 8, 1977, p. 377-380.

Research output: Contribution to journalArticle

Newell, Alan C ; Redekopp, Larry G. / Breakdown of Zakharov-Shabat theory and soliton creation. In: Physical Review Letters. 1977 ; Vol. 38, No. 8. pp. 377-380.
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