Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

    Authors

    R. Choudhury; R. I. Ivanov;Y. Liu

    Comments

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    Abbreviated Journal Title

    Chaos Solitons Fractals

    Keywords

    PHASE-SENSITIVE AMPLIFIERS; SMALL PERIODIC-ORBITS; HOMOCLINIC ORBITS; EVOLUTION-EQUATIONS; REVERSIBLE-SYSTEMS; INTERNAL WAVES; ROTATING FLUID; OPTICAL FIBERS; SOLITARY WAVES; STABILITY; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical

    Abstract

    The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves. (C) 2006 Elsevier Ltd. All rights reserved.

    Journal Title

    Chaos Solitons & Fractals

    Volume

    34

    Issue/Number

    2

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    544

    Last Page

    550

    WOS Identifier

    WOS:000247022100039

    ISSN

    0960-0779

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