A mysterious threshold for transverse instability of deep-water solitons

Dmitry E. Pelinovsky

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 55, issue 4, 585-594

Abstract: Properties of the linear eigenvalue problem associated to a hyperbolic non-linear Schrödinger equation are reviewed. The instability band of a deep-water soliton is shown to merge to the continuous spectrum of a linear Schrödinger operator. A new analytical approximation of the instability growth near a threshold is derived by means of a bifurcation theory of weakly localized wave functions.

Keywords: Deep-water soliton; Threshold; Non-linear Schrödinger equation in two dimensions; Transverse instability (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:55:y:2001:i:4:p:585-594

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