Solitons in coupled Ablowitz-Ladik chains

    Authors

    B. A. Malomed;J. K. Yang

    Comments

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    Abbreviated Journal Title

    Phys. Lett. A

    Keywords

    NONLINEAR FIBER COUPLERS; WAVE-GUIDES; DISCRETE; Physics, Multidisciplinary

    Abstract

    A model of two coupled Ablowitz-Ladik (AL) lattices is introduced. While the system as a whole is not integrable, it admits reduction to the integrable AL model for symmetric states. Stability and evolution of symmetric solitons are studied in detail analytically (by means of a variational approximation) and numerically. It is found that there exists a finite interval of positive values of the coupling constant in which the symmetric soliton is stable, provided that its mass is below a threshold value. Evolution of the unstable symmetric soliton is further studied by means of direct simulations. It is found that the unstable soliton breaks up and decays into radiation, or splits into two counter-propagating asymmetric solitons, or evolves into an asymmetric pulse, depending on the coupling coefficient and the mass of the initial soliton. (C) 2002 Elsevier Science B.V. All rights reserved.

    Journal Title

    Physics Letters A

    Volume

    302

    Issue/Number

    4

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    163

    Last Page

    170

    WOS Identifier

    WOS:000178417300003

    ISSN

    0375-9601

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