to introduce the dimensionless wave steepness 



ad) =^ 



in place of the amplitude a. From equation (68) we have 

 and therefore 



A 1 £_ V 2 



6(1) d 6(1) 



Co(P™) - ^ 5(1)2 M(p ) exp \l (1 - p„)6(l) 

 p'v-^ ™ [n 



'2^Pm^ 



ra 



(74) 



In an analogous manner we get in the case of an unlimited 

 fetch with increasing duration of wind action (Case A) according 

 to equation (45), and the condition 



ox ' 



the differential relation 



^^ o A^fi\ ^ o o =(l-p^)5(l) 



f- g^^5(l) H^ = Cp(pjp'v3 - 27r2g6(l)2 M(^Je^ "^ 



dt 



'Z'^^m' 



m 



i75) 



or 



- £- V ^2 



P' g 



dt = ''TT T TT 



5(1) d 6(1) 



2 

 p 'v 



^2^Pm^ " Ti ^^l^^'^^Pm^ ^^P 



r (1 - P„)5(l) 



n 



ra 



With 



D = SMTT^gn^ e"2^^m* 



(76) 



the fully developed state of complex sea is given by equation (34). 

 This happens when the long waves (B* -waves) are fully arisen and 

 A = D. When considering the growth of the p*-waves up to the state 

 ^ * = 1.37, it is necessary to take into account that with increasing 



94 



