Three types of solitons propagating in saturable nonlinear media

Lihong Wang, Tingting Chen and Jingsong He

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 239, issue C, 83-95

Abstract: In this paper, we investigate the propagation of light pulses in nonlinear saturable optical media, focusing on the nonlinear Schrödinger equation (NLSE) characterized by a saturable nonlinearity. We employ a Madelung-type transformation to derive stationary solutions, resulting in three types of soliton solutions: peakon-like solutions, bright soliton, and dark peakon. Additionally, we explore the physical implications of the parameters governing the NLSE and conduct detailed stability analyses of the solitons utilizing the Vakhitov–Kolokolov stability criterion.

Keywords: Madelung-type transformation; Weak solution; Peakon-like soliton; Vakhitov–Kolokolov stability criterion (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475425001934
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:matcom:v:239:y:2026:i:c:p:83-95

DOI: 10.1016/j.matcom.2025.05.010

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().