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Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers |
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| Authors: | Min LiJing-Hua Xiao Wen-Jun LiuYan Jiang Kun SunBo Tian |
| Affiliation: | a School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China b State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China c Key Laboratory of Information Photonics and Optical Communications (BUPT), Ministry of Education, P.O. Box 128, Beijing University of Posts and Telecommunications, Beijing 100876, China |
| Abstract: | The derivative nonlinear Schrödinger (DNLS) equation, which governs the propagation of the femtosecond optical pulse in a monomodal optical fiber, is analytically studied in this Letter. Breather and double-pole solutions are derived from the two-soliton solution with the choice of parameters. It is found that the parameters in the DNLS equation cannot only control the phase and propagation direction of the breather and double pole, but also influence the interaction period of the breather. Elastic collisions between a breather and a dark/anti-dark soliton are studied by the qualitative analysis and graphical illustration. The stability of the breather and double-pole solutions is also analyzed. |
| Keywords: | Derivative nonlinear Schrö dinger equation Breather solution Double-pole solution Symbolic computation |
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