The transient part obeys
where cn is the phase speed of the long waves (long waves are defined in terms of the x direction, and the short waves will be discussed below in connection with the western boundary). If we assume the wind-stress curl is independent of x, Gn(x) = Tn, then the transient solution, which is defined in Eqn. (4.511) and satisfies the initial condition, Eqn. (4.512), is iOn (x, t) = [(x - L) - H (L + cnt - x)(x - Ont - L)] (4.515)
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