Exact solutions for wave equations of two-layered media with smooth transition.
In: Journal of Mathematical Physics, Jg. 29 (1988), Heft 1, S. 86-96
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Zugriff:
The wave equation c2(x)uxx-utt=0 is solved for wave speeds c(x) corresponding to two-layered media with smooth transition from layer to layer. The wave speed c(x) has four free parameters to fit a given medium. Solutions are constructed from invariant solutions of a related system of first-order partial differential equations that admit a four-parameter symmetry group. These solutions are superposed to solve general initial value problems for data with compact support; the computation of the superposition coefficients uses elementary Fourier analysis. Solutions are illustrated for various initial conditions. [ABSTRACT FROM AUTHOR]
| Titel: |
Exact solutions for wave equations of two-layered media with smooth transition.
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| Autor/in / Beteiligte Person: | Bluman, George ; Kumei, Sukeyuki |
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| Zeitschrift: | Journal of Mathematical Physics, Jg. 29 (1988), Heft 1, S. 86-96 |
| Veröffentlichung: | 1988 |
| Medientyp: | academicJournal |
| ISSN: | 0022-2488 (print) |
| DOI: | 10.1063/1.528137 |
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