scholarly journals A Shallow-Water Theory for the Sun's Active Longitudes

2005 ◽  
Vol 635 (2) ◽  
pp. L193-L196 ◽  
Author(s):  
Mausumi Dikpati ◽  
Peter A. Gilman
Keyword(s):  
Shallow Water ◽  
Shallow Water Theory

Water waves of finite amplitude on a sloping beach

1958 ◽  
Vol 4 (1) ◽  
pp. 97-109 ◽  
Author(s):  
G. F. Carrier ◽  
H. P. Greenspan
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Finite Amplitude ◽  
Explicit Solutions ◽  
Shallow Water Theory ◽  
Non Linear ◽  
Wave Forms ◽  
Time Histories ◽  
Sloping Beach

In this paper, we investigate the behaviour of a wave as it climbs a sloping beach. Explicit solutions of the equations of the non-linear inviscid shallow-water theory are obtained for several physically interesting wave-forms. In particular it is shown that waves can climb a sloping beach without breaking. Formulae for the motions of the instantaneous shoreline as well as the time histories of specific wave-forms are presented.

Acoustic coherence in shallow water: theory and observation

2002 ◽  
Vol 27 (3) ◽  
pp. 653-664 ◽  
Author(s):  
A.G. Sazontov ◽  
A.L. Matveyev ◽  
N.K. Vdovicheva
Keyword(s):  
Shallow Water ◽  
Shallow Water Theory

Finite amplitude effects in free and forced edge waves

1978 ◽  
Vol 83 (3) ◽  
pp. 463-479 ◽  
Author(s):  
Nicole Rockliff
Keyword(s):  
Shallow Water ◽  
Incident Wave ◽  
Side Wall ◽  
Free Edge ◽  
Finite Amplitude ◽  
Edge Waves ◽  
Shallow Water Theory ◽  
Standing Edge Waves

The effect of non-linearity on standing edge waves is studied on the basis of shallow water theory. Four problems are considered: the decay of free edge waves and the forcing of edge waves by an incident wave of double the frequency, a synchronous incident wave and by a side-wall wavemaker. Hysteresis effects are predicted for all types of forcing.

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