International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 599-606

Generation of waves at an inertial surface due to explosions

B. N. Mandal and N. K. Ghosh

Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, India

Received 25 March 1988

Copyright © 1990 B. N. Mandal and N. K. Ghosh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the generation of surface waves by an axially symmetric initial disturbance applied at an inertial surface in an ocean of finite depth. This initial disturbance can be either in the form of an impulse or an elevation or depression. The depression of the inertial surface is obtained as an infinite integral in each case. The method of stationary phase is applied to evaluate the integral for large values of time and distance.