Phys. Rev. E 70, 066618 (2004) [6 pages]

Spatiotemporal discrete multicolor solitons

Abstract

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Zhiyong Xu^*, Yaroslav V. Kartashov^†, Lucian-Cornel Crasovan^‡, Dumitru Mihalache^‡, and Lluis Torner
ICFO-Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain

Received 16 February 2004; revised 27 July 2004; published 20 December 2004

We have found various families of two-dimensional spatiotemporal solitons in quadratically nonlinear waveguide arrays. The families of unstaggered odd, even, and twisted stationary solutions are thoroughly characterized and their stability against perturbations is investigated. We show that the twisted and even solitons display instability, while most of the odd solitons show remarkable stability upon evolution.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.70.066618

DOI:

10.1103/PhysRevE.70.066618

PACS:

42.65.Tg, 42.65.Wi, 42.79.Gn

^*Electronic address: Xu.Zhiyong@upc.es

^†Also with the Physics Department, M. V. Lomonosov Moscow State University, Moscow, Russia.

^‡Permanent address: Institute of Atomic Physics, Department of Theoretical Physics, P.O. Box MG-6, Bucharest, Romania.

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Phys. Rev. E 70, 066618 (2004) [6 pages]

Spatiotemporal discrete multicolor solitons