On the non-integrability of the spherically-symmetric nonlinear Schrodinger equation in the Langmuir collapse problem

    Authors

    B. K. Shivamoggi;D. K. Rollins

    Comments

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    Abbreviated Journal Title

    Phys. Lett. A

    Keywords

    PAINLEVE PROPERTY; Physics, Multidisciplinary

    Abstract

    In the present paper we give some analytic considerations of the spherically-symmetric nonlinear Schrodinger equation arising in the Langmuir collapse problem. We will make a systematic exploration of the various group symmetries of this equation and show that the latter possesses only a three-parameter symmetry group. We will then give a variational formulation of this equation and use the three-parameter symmetry group to show that the equation in question possesses apparently only two polynomial conservation laws. Finally, we will make a study of the singularity structure of the present equation and show that it does not seem to possess the Painleve property. The conclusion is that the spherically-symmetric nonlinear Schrodinger equation in question is apparently not integrable. (C) 1998 Elsevier Science B.V.

    Journal Title

    Physics Letters A

    Volume

    250

    Issue/Number

    4-6

    Publication Date

    1-1-1998

    Document Type

    Article

    Language

    English

    First Page

    328

    Last Page

    336

    WOS Identifier

    WOS:000077937600016

    ISSN

    0375-9601

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