N-soliton asymptotic analysis on a higher-order modified Gerdjikov-Ivanov equation in nonlinear optics

Hong-Wen Shan, Bo Tian, Xiao-Tian Gao, Chun-Hui Feng and Hao-Dong Liu

Chaos, Solitons & Fractals, 2025, vol. 201, issue P1

Abstract: The study of nonlinear optics plays a certain role in the laser technology, spectroscopy, and material structure analysis. A higher-order modified Gerdjikov-Ivanov equation, which describes the propagation and interaction of the pulses in nonlinear optics, is investigated in this paper. We derive the N-fold binary Darboux transformation of the higher-order modified Gerdjikov-Ivanov equation, where N is a positive integer. For that equation under zero boundary conditions, we construct the N-soliton solutions via the obtained N-fold binary Darboux transformation and perform the asymptotic analysis on the obtained N-soliton solutions. Before and after each interaction, the N solitons pass through each other without any change in shape or velocity, while only encounter the phase shifts. Taking N=2 and N=3 as two examples, we graphically illustrate the 2 and 3 interacting solitons through the 3D plots and characteristic lines, which align with our asymptotic-analysis results. Our analysis, which still needs to be confirmed by the relevant numerical simulation and experiments, might offer some explanations for the complex and variable natural mechanisms in nonlinear optics.

Keywords: Nonlinear optics; Higher-order modified Gerdjikov-Ivanov equation; Binary Darboux transformation; Soliton interaction; Asymptotic analysis (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925012123
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:201:y:2025:i:p1:s0960077925012123

DOI: 10.1016/j.chaos.2025.117199

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. ().