Kui Huo
Families of exact similaritons with flexible modulations in N-coupled homogeneous and inhomogeneous systems
Huo, Kui; Li, Bin; Jia, Heping; Christian, James; Yang, Rongcao
Abstract
In this paper, a family of exact solutions to N-coupled nonlinear Schrödinger (N-CNLS) equations including bright and dark solitons, Akhmediev breathers, Kuznetsov-Ma breathers, and rogue waves are derived with the aid of a generic nonlinear wave assumption. As an application of the solutions, we present a scheme to realize amplitude coding in an identical waveguide system. Furthermore, by a general self-similar transformation method, exact controllable similaritons of N-coupled inhomogeneous NLS (N-CINLS) equations are constructed under relaxed compatibility conditions. Flexible modulations of similaritons are investigated in a typical inhomogeneous system. Based on the general self-similar transformation, we further study various and novel modulations of composite similariton of 2-CINLS regimes. The various similaritons presented here may be expected to find application in the control and transmission of nonlinear waves in realizable complex systems including those based on optical fibers and Bose-Einstein condensates.
Citation
Huo, K., Li, B., Jia, H., Christian, J., & Yang, R. (in press). Families of exact similaritons with flexible modulations in N-coupled homogeneous and inhomogeneous systems. Physics Letters A, Article 129997. https://doi.org/10.1016/j.physleta.2024.129997
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 18, 2024 |
Online Publication Date | Oct 19, 2024 |
Deposit Date | Oct 28, 2024 |
Publicly Available Date | Oct 20, 2026 |
Journal | Physics Letters A |
Print ISSN | 0375-9601 |
Electronic ISSN | 1873-2429 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Article Number | 129997 |
DOI | https://doi.org/10.1016/j.physleta.2024.129997 |
Keywords | Soliton; Amplitude coding; Similariton modulation; Coupled homogeneous and inhomogeneous system |
Files
This file is under embargo until Oct 20, 2026 due to copyright reasons.
Contact J.Christian@salford.ac.uk to request a copy for personal use.
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