The Propagation of a Finite Wave Train in Infinitely Deep Water 
Sines ea MIS a 
n(0,0,t)= (n an integer) 
O , otherwise 6.1) 
In 
O(a) = ae n(0,0,t) sin ut dt - AI sin 22 sin ut dt 
a, —In 
sin 
-f aie cos (= fof) cos (22 —#) t\dt 
ps sin eta sin (= —-)Tn | 
| 
(SF +H) a) 
A sin Tn singe Tn 
"aro A ec /am0, [ang te 19 edocs Wl (5.2) 
¥ | (SF +H) Gao) | 
+o. 2 3 
Co oes pee (5.2) 
Lass =) 
ee (5. 4) 
A Xena X 4mX_4)\| SIN.an 
(xt) | sin (228s GE + og my] SET da 
2 ne 
A sin (22 ERP cos [8G X40 (am— 1] Sinan gy 
; Gil g g a 
a cos (SS 2xty [sin a + ale — | ee (S75) 
PHS ANTE SEX 
