Periodic solutions, breathers and rogue waves in a generalized coupled Hirota system

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• 作者：Hui-Hui Zhao ; Xiao-Juan Zhao ; Rui Guo ; ^{gr81@sina.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Soliton ; A generalized coupled nonlinear Schrö ; dinger system ; Darboux transformation ; Periodic solutions ; Breathers ; Rogue waves
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：127
• 期：20
• 页码：9295-9304
• 全文大小：1555 K

文摘

In this paper, a generalized coupled Hirota system with higher-order and linear coupling terms has been investigated. Based on the Lax integrable property, the Darboux transformation (DT) algorithm has been constructed. Some new solutions under the vanishing and non-vanishing backgrounds are derived, including periodic solutions, breathers and rogue wave solutions. By some graphic simulations the propagation characteristics of those solutions influenced by higher-order and linear coupling terms are analyzed.