https://doi.org/10.1140/epjp/s13360-022-03492-y
Regular Article
Rogue wave patterns to the artificial synchronization of three uncoupled Ablowitz−Ladik systems in the framework of Babalic−Cârstea auxiliary Lax representation
School of Applied Science, Beijing Information Science and Technology University, 100192, Beijing, China
b xiaoyongwen@bistu.edu.cn, xiaoyongwen@163.com
Received:
20
March
2022
Accepted:
13
November
2022
Published online:
30
November
2022
The artificial synchronization of three uncoupled Ablowitz−Ladik systems associated with the sixth-order auxiliary linear problem is investigated theoretically and elucidated graphically. Our priority is to deduce the rogue wave production mechanism from plane wave solutions for this system. And then, depending on these modulation instability regions and extending the generalized 
-fold Darboux transformation from 
or 
Lax pair to the sixth-order auxiliary linear spectral problem focus on generating some novel position movable localized wave solutions including oscillatory rogue wave with multi-peak and multi-valley, circular rogue wave, periodic wave and hybrid collision solutions. Meanwhile, we have adopted numerical simulations to analyze the dynamical behaviors of some localized wave solutions. Besides, the principal characteristic and location of these novel rogue wave solutions can be controlled by a set of unique parameters, which enable us to control them to appear in the position we want. It is envisaged that the findings of this study can aid in progress of synchronization technology as applied to the several autonomous chains of electrical lamps or to the autonomous chains of other devices.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. 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.
