Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations
This article addresses orbital stability of periodic travelling-wave solutions for coupled nonlinear Schrodinger equations. We prove the existence of smooth curves of periodic travelling-wave solutions depending on the dnoidal-type functions. Orbital stability analysis is developed in the contex...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/07/abstr.html |
| _version_ | 1828533569376485376 |
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| author | Ademir Pastor |
| author_facet | Ademir Pastor |
| author_sort | Ademir Pastor |
| collection | DOAJ |
| description | This article addresses orbital stability of periodic travelling-wave solutions for coupled nonlinear Schrodinger equations. We prove the existence of smooth curves of periodic travelling-wave solutions depending on the dnoidal-type functions. Orbital stability analysis is developed in the context of Hamiltonian systems. We consider both the stability problem by periodic perturbations which have the same fundamental period as the corresponding periodic wave and the stability problem by periodic perturbations having two or more times the minimal period as the corresponding periodic wave. |
| first_indexed | 2024-12-11T23:11:58Z |
| format | Article |
| id | doaj.art-a318f30a69d24029bb1bdceccb86e226 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T23:11:58Z |
| publishDate | 2010-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a318f30a69d24029bb1bdceccb86e2262022-12-22T00:46:40ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-01-01201007,119Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equationsAdemir PastorThis article addresses orbital stability of periodic travelling-wave solutions for coupled nonlinear Schrodinger equations. We prove the existence of smooth curves of periodic travelling-wave solutions depending on the dnoidal-type functions. Orbital stability analysis is developed in the context of Hamiltonian systems. We consider both the stability problem by periodic perturbations which have the same fundamental period as the corresponding periodic wave and the stability problem by periodic perturbations having two or more times the minimal period as the corresponding periodic wave.http://ejde.math.txstate.edu/Volumes/2010/07/abstr.htmlSchrodinger equationperiodic travelling wavesorbital stability |
| spellingShingle | Ademir Pastor Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations Electronic Journal of Differential Equations Schrodinger equation periodic travelling waves orbital stability |
| title | Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations |
| title_full | Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations |
| title_fullStr | Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations |
| title_full_unstemmed | Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations |
| title_short | Orbital stability of periodic travelling waves for coupled nonlinear Schrodinger equations |
| title_sort | orbital stability of periodic travelling waves for coupled nonlinear schrodinger equations |
| topic | Schrodinger equation periodic travelling waves orbital stability |
| url | http://ejde.math.txstate.edu/Volumes/2010/07/abstr.html |
| work_keys_str_mv | AT ademirpastor orbitalstabilityofperiodictravellingwavesforcouplednonlinearschrodingerequations |