Ultrashort nonautonomous similariton solutions and the cascade tunneling of interacting similaritons

Yang, R; Gao, J; Jia, H; Tian, J; Christian, JM

Abstract

Similarity transformation and Hirota bilinearization are deployed to derive exact bright and dark ultrashort
one- and two-similariton solutions of a nonautonomous cubic-quintic nonlinear Schrödinger equation. Such wave packets
may emerge when group-velocity dispersion and cubic-quintic self-phase modulations are balanced by Raman self-frequency
shift in the presence of an external harmonic trap and linear gain or loss. The solutions presented here can be used to
investigate the compression, amplification and interaction phenomena associated with bright and dark similaritons in
inhomogeneous fiber systems. Furthermore, the dynamics of the characteristic parameters of the similaritons are studied
analytically, and similariton stability in a distributed system is tested through extensive computations. As an example
application, the tunneling behavior of bright and dark similaritons through cascade dispersion barriers and dispersion wells on
an exponential background is investigated, and some interesting novel features are uncovered which are expected to facilitate
the control of bright and dark ultrashort similariton in experimental scenarios.

Citation

Yang, R., Gao, J., Jia, H., Tian, J., & Christian, J. (2020). Ultrashort nonautonomous similariton solutions and the cascade tunneling of interacting similaritons. Optics Communications, 459, 125025. https://doi.org/10.1016/j.optcom.2019.125025

• Journal Article Type: Article
• Acceptance Date: Nov 25, 2019
• Online Publication Date: Nov 28, 2019
• Publication Date: Mar 15, 2020
• Deposit Date: Dec 2, 2019
• Publicly Available Date: Nov 28, 2020
• Journal: Optics Communications
• Print ISSN: 0030-4018
• Publisher: Elsevier
• Volume: 459
• Pages: 125025
• DOI: https://doi.org/10.1016/j.optcom.2019.125025
• Publisher URL: https://doi.org/10.1016/j.optcom.2019.125025
• Related Public URLs: https://www.sciencedirect.com/journal/optics-communications
• Additional Information: Funders : National Natural Science Foundation of China (NSFC);Natural Science Foundation of Shanxi Province;Opened Fund of the State Key Laboratory of Integrated Optoelectronics; Grant Number: 61775126; Grant Number: 201801D221164, 201801D121119; Grant Number: IOSKL2019KF16