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Azimuthal modulational instability of vortices in the nonlinear Schrödinger equation

✍ Scribed by R.M. Caplan; Q.E. Hoq; R. Carretero-González; P.G. Kevrekidis


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
519 KB
Volume
282
Category
Article
ISSN
0030-4018

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In this paper we study the existence of global solutions to the Cauchy problem Ž . for the matrix nonlinear Schrodinger equation MNLS in 2 space dimensions. A sharp condition for the global existence is obtained for this equation. This condition is in terms of an exact stationary solution of a semil