Drifting of the solution pattern for the nonlinear Schrodinger equation

Authors
Tan, Y Mao, JM
Citation
Y. Tan et Jm. Mao, Drifting of the solution pattern for the nonlinear Schrodinger equation, J PHYS A, 33(49), 2000, pp. 9119-9130
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
49
Year of publication
2000
Pages
9119 - 9130
Database
ISI
SICI code
0305-4470(200012)33:49<9119:DOTSPF>2.0.ZU;2-C
Abstract
When a solution of the one-dimensional nonlinear Schrodinger equation is di sturbed by a harmonic function of the space variable, the solution pattern may drift in space as time evolves. The value and the direction of the drif ting velocity vary with time. To understand this phenomenon, a perturbation analysis is performed. The drifting velocity given by the analysis agrees well with the direct numerical result.