Nonparaxial pulse propagation in a planar waveguide with Kerr-like and quintic nonlinearities; computational simulations

DOI10.1016/J.CHAOS.2022.111970zbMath1498.35463OpenAlexW4220713608MaRDI QIDQ2098755

Mostafa M. A. Khater

Publication date: 18 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111970

zbMATH Keywords

computational simulationsoliton wavecubic-quintic nonlinear Helmholtz equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Cites Work

• Plenty of wave solutions to the ill-posed Boussinesq dynamic wave equation under shallow water beneath gravity
• Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
• Five semi analytical and numerical simulations for the fractional nonlinear space-time telegraph equation
• Bifurcation of solitary and periodic waves of an extended cubic-quintic Schrödinger equation with nonlinear dispersion effects governing modulated waves in a bandpass inductor-capacitor network
• New traveling solutions of the fractional nonlinear KdV and ZKBBM equations with 𝒜ℬℛ fractional operator
• Analytical simulations of the Fokas system; extension (2 + 1)-dimensional nonlinear Schrödinger equation
• Folded novel accurate analytical and semi-analytical solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

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