Multibump periodic travelling waves in suspension bridges

DOI10.1017/S0308210500021661zbMath0909.35143OpenAlexW2334410011MaRDI QIDQ3840740

William C. Troy, Lambertus A. Peletier

Publication date: 10 August 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021661

zbMATH Keywords

existencenonlinear fourth-order equationtavelling-wavewaves in suspension bridges

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear elasticity (74B20)

Related Items (10)

Infinitely many solutions to fourth order superlinear periodic problems ⋮ Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof ⋮ Regularity of global attractor for the fourth-order reaction-diffusion equation ⋮ On the finite space blow up of the solutions of the Swift-Hohenberg equation ⋮ A monotone method for fourth order value problems involving a factorizable linear operator ⋮ Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations ⋮ Second order Lagrangian Twist systems: simple closed characteristics ⋮ Global bifurcation for fourth-order differential equations with periodic boundary-value conditions ⋮ Periodic travelling wave solutions of a parabolic equation: a monotonicity result. ⋮ A shooting method for the Swift-Hohenberg equation.

Cites Work

• A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
• Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation
• Travelling Waves in a Suspension Bridge
• On solitary waves of a piecewise linear suspended beam model
• Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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