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-Reference-Cited by-同舟云学术

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

Published:1988-12 Issue:6 Volume:48 Page:1227-1243
ISSN:0036-1399
Container-title:SIAM Journal on Applied Mathematics
language:en
Short-container-title:SIAM J. Appl. Math.

Author:

van Horssen W. T.

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/0148075

Reference18 articles.

1. On the asymptotic validity of perturbation methods for hyperbolic differential equations

2. A Perturbation Method for Hyperbolic Equations with Small Nonlinearities

3. Non-linear wave propagation solutions by Fourier transform perturbation

4. Asymptotic Solutions of Inhomogeneous Initial Boundary Value Problems for Weakly Nonlinear Partial Differential Equations

Cited by 48 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamics of a compressed Euler–Bernoulli beam on an elastic foundation with a partly prescribed discrete spectrum;Acta Mechanica;2024-08-28

2. Dynamics of a weakly nonlinear string on an elastic foundation with a partly prescribed discrete spectrum;Nonlinear Dynamics;2022-12-04

3. A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation;Applied Numerical Mathematics;2022-08

4. Vibrations of an Elastic Beam Subjected by Two Kinds of Moving Loads and Positioned on a Foundation having Fractional Order Viscoelastic Physical Properties;Advances in Dynamical Systems Theory, Models, Algorithms and Applications;2021-07-28

5. Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation;Multiscale Modeling & Simulation;2021-01