Asymptotic analysis of a perturbation problem

DOI10.1016/J.CAM.2005.01.050zbMath1095.35004OpenAlexW2003972002MaRDI QIDQ818238

N. E. Zubov

Publication date: 24 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.01.050

zbMATH Keywords

nonlinear hyperbolic equationsmultiple-scale methoduniform asymptotic expansionVan der Pol-type perturbation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Multiple scale and singular perturbation methods
• ON EXORCISING SECULAR TERMS
• An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines
• Justification of a Perturbation Approximation of the Klein–Gordon Equation
• Asymptotic Solutions of Initial Value Problems for Nonlinear Partial Differential Equations
• A Perturbation Method for Hyperbolic Equations with Small Nonlinearities

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