A mysterious threshold for transverse instability of deep-water solitons

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.

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Year of publication:	2001
Authors:	Pelinovsky, Dmitry E.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 55.2001, 4, p. 585-594
Publisher:	Elsevier
Subject:	Deep-water soliton \| Threshold \| Non-linear Schrödinger equation in two dimensions \| Transverse instability

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011051223