Solitary waves for a coupled nonlinear Schrodinger system with dispersion management
We consider a system of coupled nonlinear Schrodinger equations with periodically varying dispersion coefficient that arises in the context of fiber-optics communication. We use Lions's Concentration Compactness principle to show the existence of standing waves with prescribed L^2 norm in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2010-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/107/abstr.html |
| _version_ | 1818857700815011840 |
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| author | Panayotis Panayotaros Mauricio Sepulveda Octavio Vera |
| author_facet | Panayotis Panayotaros Mauricio Sepulveda Octavio Vera |
| author_sort | Panayotis Panayotaros |
| collection | DOAJ |
| description | We consider a system of coupled nonlinear Schrodinger equations with periodically varying dispersion coefficient that arises in the context of fiber-optics communication. We use Lions's Concentration Compactness principle to show the existence of standing waves with prescribed L^2 norm in an averaged equation that approximates the coupled system. We also use the Mountain Pass Lemma to prove the existence of standing waves with prescribed frequencies. |
| first_indexed | 2024-12-19T08:44:34Z |
| format | Article |
| id | doaj.art-0da9e21f6252448dad0dcb8a517d1fb6 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T08:44:34Z |
| publishDate | 2010-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0da9e21f6252448dad0dcb8a517d1fb62022-12-21T20:28:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-08-012010107,126Solitary waves for a coupled nonlinear Schrodinger system with dispersion managementPanayotis PanayotarosMauricio SepulvedaOctavio VeraWe consider a system of coupled nonlinear Schrodinger equations with periodically varying dispersion coefficient that arises in the context of fiber-optics communication. We use Lions's Concentration Compactness principle to show the existence of standing waves with prescribed L^2 norm in an averaged equation that approximates the coupled system. We also use the Mountain Pass Lemma to prove the existence of standing waves with prescribed frequencies.http://ejde.math.txstate.edu/Volumes/2010/107/abstr.htmlSchrodinger equationsdispersion managementsolitary waves |
| spellingShingle | Panayotis Panayotaros Mauricio Sepulveda Octavio Vera Solitary waves for a coupled nonlinear Schrodinger system with dispersion management Electronic Journal of Differential Equations Schrodinger equations dispersion management solitary waves |
| title | Solitary waves for a coupled nonlinear Schrodinger system with dispersion management |
| title_full | Solitary waves for a coupled nonlinear Schrodinger system with dispersion management |
| title_fullStr | Solitary waves for a coupled nonlinear Schrodinger system with dispersion management |
| title_full_unstemmed | Solitary waves for a coupled nonlinear Schrodinger system with dispersion management |
| title_short | Solitary waves for a coupled nonlinear Schrodinger system with dispersion management |
| title_sort | solitary waves for a coupled nonlinear schrodinger system with dispersion management |
| topic | Schrodinger equations dispersion management solitary waves |
| url | http://ejde.math.txstate.edu/Volumes/2010/107/abstr.html |
| work_keys_str_mv | AT panayotispanayotaros solitarywavesforacouplednonlinearschrodingersystemwithdispersionmanagement AT mauriciosepulveda solitarywavesforacouplednonlinearschrodingersystemwithdispersionmanagement AT octaviovera solitarywavesforacouplednonlinearschrodingersystemwithdispersionmanagement |