Bright optical solitons with polynomial law of nonlinear refractive index by Adomian decomposition scheme

DOI10.3176/proc.2022.3.02zbMath1502.78037OpenAlexW4288063301MaRDI QIDQ5866611

Yakup Yıldırım, Hashim M. Alshehri, Anjan Biswas, O. González-Gaxiola

Publication date: 22 September 2022

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2022.3.02

zbMATH Keywords

nonlinear Schrödinger equationAdomian decomposition methodpolynomial lawbright optical solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Basic methods for problems in optics and electromagnetic theory (78M99) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Solving frontier problems of physics: the decomposition method
• Solution of the nonlinear Schrödinger equation with defocusing strength nonlinearities through the Laplace-Adomian decomposition method
• Highly dispersive optical solitons of equation with various polynomial nonlinearity law
• Optical solitons of model with integrable equation for wave packet envelope
• Highly dispersive optical solitons of an equation with arbitrary refractive index
• Simple parametrization methods for generating Adomian polynomials
• Periodic and solitary waves in optical fiber Bragg gratings with dispersive reflectivity

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