Conference
A mysterious threshold for transverse instability of deep-water solitons
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.
Authors
Pelinovsky DE
Volume
55
Pagination
pp. 585-594
Publisher
Elsevier
Publication Date
March 2001
DOI
10.1016/s0378-4754(00)00287-1
Conference proceedings
Mathematics and Computers in Simulation
Issue
4-6
ISSN
0378-4754