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 |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/07/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |