Bifurcating bright and dark solitary waves of the nearly nonlinear cubic-quintic Schrodinger equation
| dc.creator | Kapitula, Todd | |
| dc.date | 1996-08-26 | |
| dc.date.accessioned | 2026-07-07T09:16:02Z | |
| dc.date.available | 2026-07-07T09:16:02Z | |
| dc.description | The existence of bright and dark multi-bump solitary waves for Ginzburg-Landau type perturbations of the cubic-quintic Schrodinger equation is considered. The waves in question are not perturbations of known analytic solitary waves, but instead arise as a bifurcation from a heteroclinic cycle in a three dimensional ODE phase space. Using geometric singular perturbation techniques, regions in parameter space for which 1-bump bright and dark solitary waves will bifurcate are identified. The existence of N-bump dark solitary waves is shown via an application of the Exchange Lemma with Exponentially Small Error. N-bump bright solitary waves are shown to exist as a consequence of the previous work of S. Maier-Paape and this author. | |
| dc.description | Latex, 39 pages, 7 figures (type "latex main" to latex the paper) | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9608009 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9608009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153224 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Bifurcating bright and dark solitary waves of the nearly nonlinear cubic-quintic Schrodinger equation | |
| dc.type | text |