Multiple Soliton Solutions of Alice-Bob Boussinesq Equations

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2019,（5）
• 页码范围: 18-22
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0256-307X/36/5/050501

摘要

Three Alice Bob Boussinesq (ABB) nonlocal systems with shifted parity ((P)s),delayed time reversal ((T)d) and (P)s(T)d nonlocalities are investigated.The multi-soliton solutions of these models are systematically found from the (P)s,(T)d and (P)s(T)d symmetry reductions of a coupled local Boussinesq system.The result shows that for ABB equations with (P)s and/or (T)d nonlocality,an odd number of solitons is prohibited.The solitons of the (P)s nonlocal ABB and (T)d nonlocal ABB equations must be paired,while any number of solitons is allowed for the (P)s(T)d nonlocal ABB system.t-breathers,x-breathers and rogue waves exist for all three types of nonlocal ABB system.In particular,different from classical local cases,the first-order rogue wave can have not only four leaves but also five and six leaves.