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Soliton, Breather and Rogue Wave Solutions for the Nonlinear Schr?dinger Equation Coupled to a Multiple Self-Induced Transparency System |
| Xin Wang1,2**, Lei Wang3 |
1College of Science, Zhongyuan University of Technology, Zhengzhou 450007
2School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001
3School of Mathematics and Physics, North China Electric Power University, Beijing 102206
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| Cite this article: |
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Xin Wang, Lei Wang 2018 Chin. Phys. Lett. 35 030201 |
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Abstract We derive an $N$-fold Darboux transformation for the nonlinear Schrödinger equation coupled to a multiple self-induced transparency system, which is applicable to optical fiber communications in the erbium-doped medium. The $N$-soliton, $N$-breather and $N$th-order rogue wave solutions in the compact determinant representations are derived using the Darboux transformation and limit technique. Dynamics of such solutions from the first- to second-order ones are shown.
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Received: 03 November 2017
Published: 25 February 2018
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11705290 and 11305060, and the China Postdoctoral Science Foundation under Grant No 2016M602252. |
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