Inelastic Interaction of Double-Valley Dark Solitons for the Hirota Equation

• 作者: Xiao-Man Zhang Yan-Hong Qin Li-Ming Ling Li-Chen Zhao
• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2021,（9）
• 所属期刊栏目: GENERAL
• 页码范围: 6-10
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0256-307X/38/9/090201

摘要

For a scalar integrable model,it is generally believed that the solitons interact with each other elastically,for instance,multi-bright solitons from the nonlinear Schr?dinger equation and the Korteweg-de Vries equation,etc.We obtain double-valley dark solitons from the defocusing Hirota equation by the Darboux transformation.Particularly,we report a remarkable phenomenon for the inelastic interaction of the double-valley dark solitons,in contrast to the solitons interacting with each other elastically for a scalar integrable model in previous works.Furthermore,we give the explicit conditions for the elastic collision based on the asymptotic analysis results.It is shown that the double-valley dark solitons could also admit elastic interaction under the special parameters settings.