Breakdown of Zakharov-Shabat theory and soliton creation

Alan C. Newell; Larry G. Redekopp

doi:10.1103/PhysRevLett.38.377

Breakdown of Zakharov-Shabat theory and soliton creation

Alan C. Newell, Larry G. Redekopp

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66 Scopus citations

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 language	English (US)
Pages (from-to)	377-380
Number of pages	4
Journal	Physical review letters
Volume	38
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevLett.38.377
State	Published - 1977

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.38.377

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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.",

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AB - 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.

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Breakdown of Zakharov-Shabat theory and soliton creation

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