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Families of exact similaritons with flexible modulations in N-coupled homogeneous and inhomogeneous systems

Huo, Kui; Li, Bin; Jia, Heping; Christian, James; Yang, Rongcao

Authors

Kui Huo

Bin Li

Heping Jia

Rongcao Yang



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