Soliton solutions and self-steepening in the photon-conserving nonlinear Schrödinger equation

DOI10.1080/17455030.2020.1856970zbMath1506.78008OpenAlexW3112398754MaRDI QIDQ5046757

S. M. Hernandez, D. F. Grosz, J. Bonetti, P. I. Fierens, N. Linale

Publication date: 9 November 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2020.1856970

zbMATH Keywords

nonlinear Schrödinger equationsolitonnonlinear opticsphoton numberself-steepening

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on time scales (35R07)

Cites Work

• Next hierarchy of mixed derivative nonlinear Schrödinger equation
• Numerical methods for accurate description of ultrashort pulses in optical fibers
• Bäcklund transformations, soliton solutions and wave functions of Kaup–Newell and Wadati–Konno–Ichikawa systems
• Modified nonlinear Schrödinger equation: Spectral transform and N-soliton solution
• Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers

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