Authors

Citation

Bk. Shivamoggi et Dk. Rollins, On the non-integrability of the spherically-symmetric nonlinear Schrodinger equation in the Langmuir collapse problem, PHYS LETT A, 250(4-6), 1998, pp. 328-336

Citations number

15

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Physics

Journal title

PHYSICS LETTERS A

ISSN journal

0375-9601
→ ACNP

Volume

250

Issue

4-6

Year of publication

1998

Pages

328 - 336

Database

ISI

SICI code

0375-9601(199812)250:4-6<328:OTNOTS>2.0.ZU;2-3

Abstract

In the present paper we give some analytic considerations of the sphericall
y-symmetric nonlinear Schrodinger equation arising in the Langmuir collapse
problem. We will make a systematic exploration of the various group symmet
ries of this equation and show that the latter possesses only a three-param
eter symmetry group. We will then give a variational formulation of this eq
uation and use the three-parameter symmetry group to show that the equation
in question possesses apparently only two polynomial conservation laws. Fi
nally, we will make a study of the singularity structure of the present equ
ation 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.