Multiple Soliton Solutions of Alice–Bob Boussinesq Equations |
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引用本文: | 李辉,楼森岳.Multiple Soliton Solutions of Alice–Bob Boussinesq Equations[J].中国物理快报,2019(5). |
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作者姓名: | 李辉 楼森岳 |
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摘 要: | Three Alice-Bob Boussinesq(ABB) nonlocal systems with shifted parity■, delayed time reversal■ and ■ nonlocalities are investigated. The multi-soliton solutions of these models are systematically found from the ■ symmetry reductions of a coupled local Boussinesq system. The result shows that for ABB equations with ■ nonlocality, an odd number of solitons is prohibited. The solitons of the ■ nonlocal ABB and ■ nonlocal ABB equations must be paired, while any number of solitons is allowed for the ■ 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.
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