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Multibump periodic travelling waves in suspension bridges

Published online by Cambridge University Press:  14 November 2011

L. A. Peletier  and
W. C. Troy
L. A. Peletier
Affiliation:
Mathematical Institute, Leiden University, PB 9512, 2300 RA, Leiden, The Netherlands
W. C. Troy
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.
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Abstract

We investigate different types of periodic solutions of a fourth-order, nonlinear differential equation, which has been proposed as a model for travelling waves in suspension bridges. We develop a shooting argument, which enables us to prove the existence of two families of multibump periodic solutions, each containing a countably infinite number of different solutions

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 3 , 1998 , pp. 631 - 659
Copyright
Copyright © Royal Society of Edinburgh 1998

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