Internal Waves tn Channels of Vartable Depth 
where I9,H and K are respectively the value of lone’ Ha wemdak,. 
when K, = K, and are obviously positive. Hence 
d 
a = 0 (57) 
dk 
We can write (54) as 
2 2 z Le es Zz 
ea = Ky )| Noam Ga Re pa ee 
which gives 
ae I, - (a +R) 
ae (58) 
dk k (H+ K) 
It is a simple matter to show that 
Ji Kerio vy Oni; 
where J is the value of J), (or J2,,) when kj = kp and oj =92. 
From (51), on making kj = ky , we have 
Hence 
2 2 Zz 
i. = Cry = 6 ee =eU1 Bie Hae ee <= Os 
and (58) gives 
1411 
