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Bifurcations and stability of gap solitons in periodic potentials

✍ Scribed by Pelinovsky, Dmitry E.; Sukhorukov, Andrey A.; Kivshar, Yuri S.


Book ID
120825459
Publisher
The American Physical Society
Year
2004
Tongue
English
Weight
769 KB
Volume
70
Category
Article
ISSN
1063-651X

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Moving gap solitons in periodic potentia
✍ Dmitry Pelinovsky; Guido Schneider πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 224 KB

## Abstract We address the existence of moving gap solitons (traveling localized solutions) in the Gross–Pitaevskii equation with a small periodic potential. Moving gap solitons are approximated by the explicit solutions of the coupled‐mode system. We show, however, that exponentially decaying trav