THE VARIATIONAL PRINCIPLE FOR NONLINEAR-WAVES IN DISSIPATIVE SYSTEMS

Citation
Dj. Kaup et Ba. Malomed, THE VARIATIONAL PRINCIPLE FOR NONLINEAR-WAVES IN DISSIPATIVE SYSTEMS, Physica. D, 87(1-4), 1995, pp. 155-159
Citations number
25
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
87
Issue
1-4
Year of publication
1995
Pages
155 - 159
Database
ISI
SICI code
0167-2789(1995)87:1-4<155:TVPFNI>2.0.ZU;2-L
Abstract
We discuss the application of the variational principle to nonlinear d issipative systems, in particular the nonlinear Schrodinger (NLS) equa tion with diffusive and damping terms. The proposed variational method is an old, but little known technique. We use a simple example to ill ustrate the technique and then make some general comments concerning t he NLS with damping and diffusive terms.