  We consider the information fiber optical channel modeled by the nonlinear
Schrodinger equation with additive Gaussian noise. Using path-integral approach
and perturbation theory for the small dimensionless parameter of the second
dispersion, we calculate the conditional probability density functional in the
leading and next-to-leading order in the dimensionless second dispersion
parameter associated with the input signal bandwidth. Taking into account
specific filtering of the output signal by the output signal receiver, we
calculate the mutual information in the leading and next-to-leading order in
the dispersion parameter and in the leading order in the parameter
signal-to-noise ratio (SNR). Further, we find the explicit expression for the
mutual information in case of the modified Gaussian input signal distribution
taking into account the limited frequency bandwidth of the input signal.
