Optical rogue waves and W-shaped solitons in the multiple self-induced transparency system

作者: Xin Wang , Chong Liu , Lei Wang

DOI: 10.1063/1.4986609

关键词:

摘要: We study localized nonlinear waves on a plane wave background in the multiple self-induced transparency (SIT) system, which describes an important enhancement of amplification and control optical compared to single SIT system. A hierarchy exact multiparametric rational solutions compact determinant representation are presented. demonstrate that, this family contains known rogue solution unusual W-shaped soliton solution, strictly corresponds linear stability analysis that involves modulation instability regimes low perturbation frequency region. State transitions between solitons as well higher-order superposition modes revealed by suitable choice for wavenumber electric field component. In particular, our results show system admits stationary nonstationary contrast Correspondingly, characteristics including trajectories spectrum detail.

参考文章(65)
VB Matveev, MA Salle, Darboux transformations and solitons ,(1992)
Jiao Wei, Xianguo Geng, A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures Applied Mathematics and Computation. ,vol. 268, pp. 664- 670 ,(2015) , 10.1016/J.AMC.2015.06.105
Chong Liu, Zhan-Ying Yang, Li-Chen Zhao, Wen-Li Yang, Transition, coexistence, and interaction of vector localized waves arising from higher-order effects Annals of Physics. ,vol. 362, pp. 130- 138 ,(2015) , 10.1016/J.AOP.2015.06.008
Yang Ren, Zhan-Ying Yang, Chong Liu, Wen-Li Yang, Different types of nonlinear localized and periodic waves in an erbium-doped fiber system Physics Letters A. ,vol. 379, pp. 2991- 2994 ,(2015) , 10.1016/J.PHYSLETA.2015.08.037
Fabio Baronio, Antonio Degasperis, Matteo Conforti, Stefan Wabnitz, Solutions of the Vector Nonlinear Schrödinger Equations: Evidence for Deterministic Rogue Waves Physical Review Letters. ,vol. 109, pp. 044102- ,(2012) , 10.1103/PHYSREVLETT.109.044102
Q. P. Liu, Boling Guo, Liming Ling, High Order Solutions and Generalized Darboux Transformations of Derivative Schr\"odinger Equation arXiv: Exactly Solvable and Integrable Systems. ,(2012) , 10.1111/J.1467-9590.2012.00568.X
V. E. Zakharov, A. A. Gelash, Nonlinear stage of modulation instability. Physical Review Letters. ,vol. 111, pp. 054101- ,(2013) , 10.1103/PHYSREVLETT.111.054101
James N. Downing, Fiber Optic Communications ,(2004)
A M Kamchatnov, M V Pavlov, PERIODIC SOLUTIONS AND WHITHAM EQUATIONS FOR THE AB SYSTEM Journal of Physics A. ,vol. 28, pp. 3279- 3288 ,(1995) , 10.1088/0305-4470/28/11/024