Breather-to-soliton conversions and nonlinear wave interactions in a coupled Hirota system

详细信息    查看全文

• 作者：Hui-Hui Zhao ; Xiao-Juan Zhao ; Hui-Qin Hao ; ^{math0351@sina.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Breather&ndash ; soliton dynamics ; A coupled Hirota system ; Multi-peak soliton ; Antidark soliton ; Periodic wave
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：61
• 期：Complete
• 页码：8-12
• 全文大小：1544 K

文摘

In this paper, a coupled Hirota system with higher-order effects is analytically investigated. The results show that the breather solutions can be converted into some types of nonlinear localized and periodic solutions on the plane-wave background. The exact relations for the conversions are presented, which depend on the higher-order effects, the background frequency and the eigenvalue. Via some graphic illustrations, the collisions between these nonlinear waves in the second-order conversions are displayed.