Orbital Stability for Stationary Solutions of the Wadati-Konno-Ichikawa-Shimizu Equation

    Authors

    R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    J. Phys. Soc. Jpn.

    Keywords

    Wadati-Konno-Ichikawa-Shimizu (WKIS) equation; stationary solution; orbital stability; LINEAR INHOMOGENEITIES; GENERALIZED HIROTA; VORTEX FILAMENT; SOLITONS; MOTION; Physics, Multidisciplinary

    Abstract

    We determine the orbital stability properties of the space-periodic stationary solutions to the Wadati-KonnoIchikawa- Shimizu (WKIS) equation previously obtained in R. A. Van Gorder: Prog. Theor. Phys. 128 (2012) 993. The stability result is completely analytic, whereas most results for similar equations are numerical. The method is concise and can be applied to a number of other derivative nonlinear Schrodinger (NLS) type equations admitting spaceperiodic stationary solutions.

    Journal Title

    Journal of the Physical Society of Japan

    Volume

    82

    Issue/Number

    6

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    3

    WOS Identifier

    WOS:000319809400022

    ISSN

    0031-9015

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