“…It can be assumed that noise is distributed all along the fiber length since the amplifier spacing satisfies z a 1 (Kivshar and Agarwal, 2003). In (8), σ (x, t) represents the Markovian stochastic process with Gaussian statistics and is assumed that σ (x, t) (Biswas, 2004;Elgin, 1993) is a function of t only so that σ (x, t) = σ (t). Now, the complex stochastic term σ (t) can be decomposed into real and imaginary parts as…”