Abstract
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 , and symmetry reductions of a coupled local Boussinesq system. The result shows that for ABB equations with and/or 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.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
