Elliptical and rectangular solitons in media with competing cubic–quintic nonlinearities

Liangwei Zeng, Milivoj R. Belić, Dumitru Mihalache and Xing Zhu

Chaos, Solitons & Fractals, 2024, vol. 181, issue C

Abstract: We demonstrate two new types of non-circularly-symmetric solitons, the elliptical and rectangular solitons, which can be sustained by the cubic–quintic nonlinearity in the nonlinear Schrödinger equation with a linear potential well. The characteristics of these solitons are investigated in some detail. Notably, the elliptical and circular solitons can transform into each other, and similarly the rectangular and square solitons can transform into each other. Interestingly, we find that elliptical and rectangular solitons can also transform into each other—a phenomenon not readily seen among different types of solitons. In addition, the rotation of elliptical and rectangular solitons is displayed as well. Finally, we find that stable vortex modes of elliptical and rectangular solitons can be also supported by our model.

Keywords: Optical solitons; Cubic–quintic nonlinearity; Non-circularly-symmetric solitons; Transformation of solitons (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924001966
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001966

DOI: 10.1016/j.chaos.2024.114645

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().