DYNAMICS OF LOCALIZED SOLUTIONS TO THE RAMAN-EXTENDED DERIVATIVE NONLINEAR SCHRODINGER-EQUATION

Citation
L. Berge et al., DYNAMICS OF LOCALIZED SOLUTIONS TO THE RAMAN-EXTENDED DERIVATIVE NONLINEAR SCHRODINGER-EQUATION, Journal of physics. A, mathematical and general, 29(13), 1996, pp. 3581-3595
Citations number
12
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
13
Year of publication
1996
Pages
3581 - 3595
Database
ISI
SICI code
0305-4470(1996)29:13<3581:DOLSTT>2.0.ZU;2-L
Abstract
Using virial estimates we study the temporal evolution of localized so lutions to the Raman-extended derivative nonlinear Schrodinger (R-EDNL S) equation, with a particular emphasis on collapse and non-collapse. By means of a Lagrangian approach, we investigate the possibility of r ealizing a finite-time self-similar collapse as it appears in solution s to the usual critical nonlinear Schrodinger (CNLS) equation.