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On Tidal Waves in Canals having Sinuous Banks

Published online by Cambridge University Press:  24 October 2008

A. C. Banerji  and
Rama Shankar Varma
A. C. Banerji
Affiliation:
Clare College
Rama Shankar Varma
Affiliation:
Allahabad University
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Extract

Particular cases of the solution of the equation of tidal-wave propagation in canals of varying section have been obtained by various writers. It is believed that the cases which we are going to consider now have not been investigated before.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 24 , Issue 4 , October 1928 , pp. 567 - 577
Copyright
Copyright © Cambridge Philosophical Society 1928

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References

* Lamb, , Hydrodynamics (5th Edition), Articles 185 and 186;Google ScholarWedderburn, , American Journal of Math., vol. XXXVI, pp. 211–230 (1914);CrossRefGoogle ScholarSen, N., Phil. Magazine, vol. XLVIII, p. 65 (1924).Google Scholar

* Whittaker, and Watson, , Modern Analysis (2nd Edition), pp. 413–15.Google Scholar

* The reason for this suppression is that the particular integral of

contains non-periodic terms.

* The form assumed suggests a general method of solving the differential equation, and we propose to work it out in a subsequent paper.Google Scholar