Nuevas soluciones cerradas, en coordenadas esféricas, de la ecuación de ondas homogénea en tres dimensiones
The solution of the homogeneous wave equation is revisited, under two criter'ia: (a) No mathematical solutions are discarded a priori, and (b) The solution by eparation of variables is done without decoupling time and distance. Three groups of nonconventional components are identified: (1) Two...
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
2000-01-01
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| Series: | Momento |
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| Online Access: | https://revistas.unal.edu.co/index.php/momento/article/view/35307 |
| Summary: | The solution of the homogeneous wave equation is revisited, under two criter'ia: (a) No mathematical solutions are discarded a priori, and (b) The solution by eparation of variables is done without decoupling time and distance. Three groups of nonconventional components are identified: (1) Two non-dispersive terms in Cartesian coordinates, (2) New directional solutions in spherical coordinates, and (3) New time-distance solutions in spherical coordinates which amount to closed three- dimensional travelling waves. |
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| ISSN: | 0121-4470 2500-8013 |