Authors

B. A. Malomed; D. J. Kaup;R. A. Van Gorder

Comments

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Abbreviated Journal Title

Phys. Rev. E

Keywords

WAVE-GUIDE ARRAYS; OPTICAL SOLITONS; BRIGHT SOLITONS; FUSED-SILICA; EQUATION; STABILITY; STATES; Physics, Fluids & Plasmas; Physics, Mathematical

Abstract

We present stable bright solitons built of coupled unstaggered and staggered components in a symmetric system of two discrete nonlinear Schrodinger equations with the attractive self-phase-modulation nonlinearity, coupled by the repulsive cross-phase-modulation interaction. These mixed modes are of a "symbiotic" type, as each component in isolation may only carry ordinary unstaggered solitons. The results are obtained in an analytical form, using the variational and Thomas-Fermi approximations (VA and TFA), and the generalized Vakhitov-Kolokolov (VK) criterion for the evaluation of the stability. The analytical predictions are verified against numerical results. Almost all the symbiotic solitons are predicted by the VA quite accurately and are stable. Close to a boundary of the existence region of the solitons (which may feature several connected branches), there are broad solitons which are not well approximated by the VA and are unstable.

Journal Title

Physical Review E

Volume

85

Issue/Number

2

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

9

WOS Identifier

WOS:000300423000006

ISSN

1539-3755

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