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Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations

Vakhnenko, V.O. and Parkes, E.J. (2012) Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations. Journal of Mathematical Physics, 53 (6). ISSN 0022-2488

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    Abstract

    The procedure for finding the solutions of the Vakhnenko-Parkes equation by means of the inverse scattering method is described. The continuous spectrum is taken into account in the associated eigenvalue problem. The suggested special form of the singularity function for continuous part of the spectral data gives rise to the multimode solutions. The sufficient conditions are proved in order that these solutions become real functions. The interaction of the N periodic waves is studied. The procedure is illustrated by considering a number of examples

    Item type: Article
    ID code: 40092
    Keywords: eigenvalue problem , nonlinear equations, Vakhnenko-Parkes equation, Probabilities. Mathematical statistics, Mathematical Physics, Statistical and Nonlinear Physics
    Subjects: Science > Mathematics > Probabilities. Mathematical statistics
    Department: Faculty of Science > Mathematics and Statistics
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    Depositing user: Pure Administrator
    Date Deposited: 20 Jun 2012 14:51
    Last modified: 27 Mar 2014 22:14
    URI: http://strathprints.strath.ac.uk/id/eprint/40092

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