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Wavefront expansions and nonlinear hyperbolic waves |
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| Authors: | T. Bryant Moodie and Yuanping He D. W. Barclay |
| Affiliation: | Applied Mathematics Institute, Department of Mathematics, University of Alberta, Edmonton, Canada T6G 2G1 Department of Mathematics and Statistics, University of New Brunswick, Fredericton, Canada E3B 5A3 |
| Abstract: | Asymptotic wavefront expansions are here employed in the study of nonlinear hyperbolic waves. Numerical results based upon these methods are obtained for a particular case of interest and both these results and those obtained by the method of characteristics are presented graphically. The wavefront-based method is accurate, requires an order of magnitude less computer time, and offers a clearer understanding of the underlying wave process. |
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