Analytic solution to the generalized complex Duffing equation and its application in soliton theory

DOI10.1080/00036811.2019.1698729zbMath1480.34003OpenAlexW2993731839WikidataQ126623387 ScholiaQ126623387MaRDI QIDQ5158609

Alvaro H. Salas

Publication date: 25 October 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1698729

zbMATH Keywords

chaosforced vibrationsfree vibrationsapproximate solutionsexact solutionsDuffing oscillatorcubic nonlinearityJacobi elliptic functionparametric vibrationselliptic modulus

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

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• An asymptotic method applied to nonlinear systems with coupled deflection
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• Perturbation methods in applied mathematics
• Analytical and numerical solution to the nonlinear cubic Duffing equation: an application to electrical signal analysis of distribution lines
• The Duffing oscillator with damping
• Ninety years of Duffing’s equation
• A Bifurcation Phenomenon for the Periodic Solutions of the Duffing Equation without Damping Terms
• Quantum chaos in open systems: a quantum state diffusion analysis
• An analytical solution to the equation of motion for the damped nonlinear pendulum
• An Introduction to Dynamical Systems and Chaos

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