Managment of nonautonomous breather molecules and rogue waves in plasma physics

Jun-Fei Zhao, Shuo Zhou, Xiao-Feng Fang and Hui Zhang

Chaos, Solitons & Fractals, 2025, vol. 195, issue C

Abstract: We focus on the intricate dynamics of nonautonomous molecules and higher-order rogue waves in the variable coefficient derivative nonlinear Schrödinger equation, a pivotal equation that characterizes the propagation of Alfvén waves in plasma physics. In contrast to the previous velocity resonance mechanism, we rely on the characteristic line technique to present the synthesis conditions for nonautonomous breather molecules and explore their dynamics under different management modes. Furthermore, we analyze the distance variations between two breather units in the breather molecule. Finally, we degenerate the second-order breather solution into a rational solution and investigate the dynamics of higher-order nonautonomous rogue waves under periodic and exponential management.

Keywords: Variable coefficients derivative nonlinear Schrödinger equation; Breather molecule; Characteristic line; Rogue wave (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925002905
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:195:y:2025:i:c:s0960077925002905

DOI: 10.1016/j.chaos.2025.116277

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. ().