https://doi.org/10.1140/epjs/s11734-025-01962-9
Regular Article
Three-component rogue wave pairs of a harmonically trapped partially nonlocal nonlinear Schrödinger system in Bose–Einstein condensation and nonlinear optics
1
College of Automotive and Mechanical Engineering, Zhoukou Vocational and Technical College, 466001, Zhoukou, China
2
School of Physics and Telecommunications Engineering, Zhoukou Normal University, 466001, Zhoukou, China
a
yangjing0410@126.com
b
lijitao@zknu.edu.cn
Received:
31
July
2025
Accepted:
15
September
2025
Published online:
25
September
2025
Previous studies have mainly examined vector-similar solutions in low-dimensional nonlinear systems; however, emerging applications increasingly demand distinct higher dimensional localized structures across coupled components. We address this need by studying a (3 + 1)-dimensional harmonically trapped partially nonlocal nonlinear Schrödinger system. By developing a transformation that renders the nonautonomous system autonomous, we obtain analytical dark–bright–dark rogue wave pair approximate solutions. These three-component solutions demonstrate rich excitation dynamics, manifesting as complete, tail, peak, and initial profiles of the rogue wave pairs, enabling controlled generation of successive excited states. Our approach provides a powerful method for creating coupled but distinct localized structures in multi-component higher dimensional nonlinear systems, with promising applications in nonlinear optics and Bose–Einstein condensates.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
