Approximately periodic solutions of the elastic string equations
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 32 (1) , 1-14
- https://doi.org/10.1080/00036818908839835
Abstract
Glimm's method is used to compute solutions of initial-boundary value problems for the nonlinear system of equations describing the motion of an elastic string. For certain initial data, numerical results suggest the existence of a stable, approximately periodic solution containing no shocks. This solution consists of two new exact solutions which are patched together by the numerical algorithmKeywords
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