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Competing neck and snake instabilities of vector Kerr and type-1 quadratic solitons.

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Abstract

Solitary waves may exhibit MI (modulational instability) if they are localized in some dimensions but extended in one or more others [1]. From a formal point of view the problem of the solitary wave MI can be considered as a continuation of the soliton spectrum at zero modulational frequency Q into the region Ω ≠ 0 [1].

© 1999 Optical Society of America

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