Chirped and chirped free nonautonomous soliton solution for 4 component nonlinear Schrödinger equation in a multimode optical fiber

M.S. Mani Rajan, Houria Triki and Anjan Biswas

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

Abstract: In this work, for the first time, analytical nonautonomous soliton solutions for a four-component coupled nonlinear Schrödinger equation with variable coefficients are constructed by means of the similarity transformation technique. A precise balance condition between the gain (loss), dispersion, and nonlinearity, which has a profound implication to control the nonautonomous soliton's dynamics, is obtained. Under this parametric condition, we study how soliton waveforms evolve with different shapes through temporally modulated group-velocity dispersion and nonlinearity parameters. We demonstrated the various rich dynamical behavior for both chirp-free and chirped solitons by a proper selection of the distributed system parameters. These results provide valuable insights into practical observation of optical solitons in real-world potential applications in the field of nonlinear fiber optics and Bose-Einstein condensates. Especially, findings are useful for the understanding of optical soliton in wavelength division multiplexing systems and inhomogeneous nonlinear optical system.

Keywords: Four-component CNLS equation; Inhomogeneous fiber; Similarity transformation method; Nonautonomous solitons (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/S0960077925015528
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:s0960077925015528

DOI: 10.1016/j.chaos.2025.117539

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. ().