Chirped self-similar pulses and envelope solutions for a nonlinear Schrödinger's in optical fibers using Lie group method

DOI10.1016/J.CHAOS.2022.112453zbMath1506.78009OpenAlexW4288421157WikidataQ115359050 ScholiaQ115359050MaRDI QIDQ2677434

Doǧan Kaya, Gulistan Iskenderoglu

Publication date: 13 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112453

zbMATH Keywords

self-similar solutionsLie groupsnonlinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Soliton solutions (35C08)

Cites Work

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• Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
• New similarity reductions of the Boussinesq equation
• New similarity solutions for the modified Boussinesq equation

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