Breathers and Rogue Waves Derived from an Extended Multi-dimensional N-Coupled Higher-Order Nonlinear Schrödinger Equation in Optical Communication Systems |
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| Authors: | Cheng-Lin Bai Yue-Jin Cai Qing-Long Luo |
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| Affiliation: | 1. School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;2. School of Computer and Information, Anqing Normal University, Anqing 246133, China;3. Shandong Province Key Laboratory of Optical Communications Science & Technology, Liaocheng 252059, China |
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| Abstract: | In this paper, an extended multi-dimensional N-coupled higher-order nonlinear Schrödinger equation (NCHNLSE), which can describe the propagation of the ultrashort pulses in wavelength division multiplexing (WDM) systems, is investigated. By the bilinear method, we construct the breather solutions for the extended (1+1), (2+1) and (3+1)-dimensional N-CHNLSE. The rogue waves are derived as a limiting form of breathers with the aid of symbolic computation. The effect of group velocity dispersion (GVD), third-order dispersion (TOD) and nonlinearity on breathers and rogue waves solutions are discussed in the optical communication systems. |
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| Keywords: | N-coupled higher-order nonlinear Schrödinger equations multi-dimensional rogue waves breathers bilinear transformation |
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