The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov-Ivanov model with full nonlinearity

DOI10.1016/j.cnsns.2022.106818zbMath1500.35271OpenAlexW4292844901WikidataQ121683926 ScholiaQ121683926MaRDI QIDQ2094438

Muhammad Hamza Rafiq, Adil Jhangeer, Nauman Raza

Publication date: 28 October 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106818

zbMATH Keywords

solitonsbifurcation analysisperiodicquasiperiodicchaotic structuresextended simple equation methodperturbed Gerdjikov-Ivanov equationsuper nonlinear

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear ordinary differential equations and systems (34A34) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Cites Work

• Unnamed Item
• Simple equation method for nonlinear partial differential equations and its applications
• Solitons for compound KdV-Burgers equation with variable coefficients and power law nonlinearity
• A note on the modified simple equation method applied to Sharma-Tasso-Olver equation
• A generalized \(F\)-expansion method and new exact solutions of Konopelchenko--Dubrovsky equations
• Bifurcation analysis and implicit solution of Klein-Gordon equation with dual-power law nonlinearity in relativistic quantum mechanics
• The simplest equation method and its application for solving the nonlinear NLSE, KGZ, GDS, DS, and GZ equations
• New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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