Title

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

Authors

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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