Asymmetric Rogue Waves, Breather-to-Soliton Conversion, and Nonlinear Wave Interactions in the Hirota-Maxwell-Bloch System

作者：Wang, Lei^*; Zhu, Yu-Jie; Wang, Zi-Qi; Xu, Tao; Qi, Feng-Hua; Xue, Yu-Shan

来源：Journal of the Physical Society of Japan, 2016, 85(2): 024001.

DOI：10.7566/JPSJ.85.024001

• SELF-INDUCED-TRANSPARENCY
• ERBIUM-DOPED FIBER
• SCHRODINGER-EQUATION
• OPTICAL SOLITONS
• COEXISTENCE
• PROPAGATION
• DISPERSION
• SCATTERING
• PLASMA
• LIGHT

We study the nonlinear localized waves on constant backgrounds of the Hirota-Maxwell-Bloch (HMB) system arising from the erbium doped fibers. We derive the asymmetric breather, rogue wave (RW) and semirational solutions of the HMB system. We show that the breather and RW solutions can be converted into various soliton solutions. Under different conditions of parameters, we calculate the locus of the eigenvalues on the complex plane which converts the breathers or RWs into solitons. Based on the second-order solutions, we investigate the interactions among different types of nonlinear waves including the breathers, RWs and solitons.

• 出版日期2016-3-15
• 单位北京物资学院; 华北电力大学（保定）; 华北电力大学; 中央财经大学; 中国石油大学（北京）