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1997 Nonlinearity 10 1763-1782 doi: 10.1088/0951-7715/10/6/018 
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Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, UK Department of Mathematics, University of Connecticut, Storrs, CT 06268, USARecommended by E Knobloch
Abstract. A further investigation of solitary wave solutions is undertaken for a piecewise linear beam equation which has been proposed as a model for suspension bridges. Solutions are characterized as being of multitrough or multiwiggle type. It is proved that there are at most five single-troughed waves, whereas there are infinitely many multitroughed waves for a range of wavespeeds. Owing to the piecewise linear nature, single-troughed waves can be constructed analytically. Numerical shooting and continuation methods are used to shed light on the global structure of these solutions. Several open questions are highlighted.
Mathematics Subject Classification: 34C37, 73K05, 58F40
Print publication: Issue 6 (November 1997) |
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