Localized excitations for a (2+1)-dimensional Hirota–Maxwell–Bloch system in an erbium-doped optical fiber

Yu Lou

Chaos, Solitons & Fractals, 2026, vol. 202, issue P2

Abstract: Under investigation is the (2+1)-dimensional Hirota–Maxwell–Bloch system which models ultrashort pulse propagation in erbium-doped optical fibers by coupling nonlinear dispersion with resonant light–matter interactions. Using a generalized Darboux transformation, we construct new classes of localized excitations that had not been previously reported, including higher-order degenerate solitons, degenerate lump chains, and rational lump solutions. These structures arise from the intricate balance and interplay between the dispersion, nonlinearity, and resonant energy exchange within the system. The degenerate solitons display diverse profiles such as bright, dark, M-shaped, and W-shaped structures, while higher-order solutions reveal non-reciprocal energy flow, polarization bimodality, and even vortex-type topological phases. For lump chains, three distinct regimes generate eye-shaped, beak-shaped, and line-shaped patterns with rich interaction behaviors. Rational lump solutions further exhibit inclined peak geometries and multi-peak interactions governed by quadratic spatial forms. These findings close a theoretical gap in multidimensional HMB dynamics and offer new insights into nonlinear energy localization and wave interactions, with potential implications for ultrafast optics and coherent wave phenomena in fluid and plasma systems.

Keywords: Erbium-doped fiber; (2+1)-dimensional Hirota–Maxwell–Bloch system; Generalized Darboux transformation; Degenerate solitons; Degenerate lump chains; Lumps (search for similar items in EconPapers)
Date: 2026
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925015681
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:202:y:2026:i:p2:s0960077925015681

DOI: 10.1016/j.chaos.2025.117555

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. ().