  We analytically solved the higher-order nonlinear Schrodinger (HNLS) equation
with non-Kerr nonlinearity under some parametric conditions and investigated
explicitly bright and dark solitary wave solutions. Periodic wave solutions are
also presented. The functional form of the bright and dark solitons presented
are different from fundamental known sech(.) and tanh(.) respectively. We have
estimated theoretically the size of the derivative non-Kerr nonlinear
coefficients of the HNLS equation that agreed the reality of the waveguide made
of highly nonlinear optical materials, could be used as the model parameters
for sub-10fs pulse propagation.
