Optical solitons via the collective variable method for the Schrödinger-Hirota equation

DOI10.1007/s40819-020-00941-zzbMath1464.78011OpenAlexW3118975016MaRDI QIDQ2026907

A. A. Alshaery, A. A. Al Qarni, H. O. Bakodah

Publication date: 21 May 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00941-z

zbMATH Keywords

nonlinear Schrödinger equationcollective variable methodoptical solitonSchrödinger-Hirota equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Lasers, masers, optical bistability, nonlinear optics (78A60) Basic methods for problems in optics and electromagnetic theory (78M99) Soliton solutions (35C08)

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Cites Work

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• Soliton solutions of a class of generalized nonlinear Schrödinger equations
• Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation
• Numerical solution of dispersive optical solitons with Schrödinger-Hirota equation by improved Adomian decomposition method
• Temporal solitons in nonlinear media modeled by modified complex Ginzburg Landau equation under collective variable approach
• Non-Lagrangian collective variable approach for optical solitons in fibres
• Generalized and Improved ( G ′/ G )-Expansion Method Combined with Jacobi Elliptic Equation
• Note on collective variable theory of nonlinear Schrödinger solitons

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