Sachdev, P. L. ; Singh, M. C. (1984) Exact time-dependent flows for non-shallow water equations Zeitschrift für Angewandte Mathematik und Physik, 35 (4). pp. 585-591. ISSN 0044-2275
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Official URL: http://www.springerlink.com/content/k410w03051n500...
Related URL: http://dx.doi.org/10.1007/BF00945076
Abstract
Two classes of exact solutions of non-shallow water equations are found. The first class is governed after several transformations of the original system, by a third order non-linear ordinary differential equation which is singular at both ends of the interval of interest, and which describes flows between two intersecting planes. The second class is expressed in terms of incomplete Beta functions and delineates flows under a free surface which is a function of time only. The solutions are compared with those found earlier by Freeman (1972), Sachdev (1980), and Longuet-Higgins (1972).
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Springer. |
| ID Code: | 33780 |
| Deposited On: | 30 Mar 2011 13:35 |
| Last Modified: | 30 Mar 2011 13:35 |
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