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Three types of solitons propagating in saturable nonlinear media

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  • Wang, Lihong
  • Chen, Tingting
  • He, Jingsong

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.

Suggested Citation

  • Wang, Lihong & Chen, Tingting & He, Jingsong, 2026. "Three types of solitons propagating in saturable nonlinear media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 239(C), pages 83-95.
    • Handle: RePEc:eee:matcom:v:239:y:2026:i:c:p:83-95
    DOI: 10.1016/j.matcom.2025.05.010
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    References listed on IDEAS

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    1. Rabie, Wafaa B. & Ahmed, Hamdy M., 2022. "Construction cubic-quartic solitons in optical metamaterials for the perturbed twin-core couplers with Kudryashov's sextic power law using extended F-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
    3. Calvo, Gabriel F. & Belmonte-Beitia, Juan & Pérez-García, Víctor M., 2009. "Exact bright and dark spatial soliton solutions in saturable nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1791-1798.
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