The Propagation of Disturbances in Dispersive Media

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In the rear of the main group we have also a series of alternating groups, following each other much more quickly and with their wave-lengths and velocities less separated out than in the front of the main group. Hence the disturbance in the rear, especially at not very great distances from the origin, may be expected Fig. 15.
to consist of small, more irregular, motion resulting from the super- position of this latter system of groups ; thus there should be a more distinctive rear of disturban
...ce moving with velocity ^V. These inferences may be compared with some results given by Lord Kelvin .
Starting from a solution of the equations for an initial elevation in the form of a single crest, the results were combined graphically so as to show in a series of curves the propagation of an initial disturbance consisting of five crests and four hollows of approximately sinusoidal 40 FINITE TRAIN OF SIMPLE WATER WAVES [CH.
shape ; it is of interest to notice his remarks on the diagrams.
" Immediately after the water is left free, the disturbance begins analysing itself into two groups of waves, seen travelling in contrary directions from the middle line of the diagram.


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