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We analytically solved the higher-order nonlinear Schrodinger (HNLS) equationwith non-Kerr nonlinearity under some parametric conditions and investigatedexplicitly bright and dark solitary wave solutions. Periodic wave solutions arealso presented. The functional form of the bright and dark solitons presentedare different from fundamental known sech(.) and tanh(.) respectively. We haveestimated theoretically the size of the derivative non-Kerr nonlinearcoefficients of the HNLS equation that agreed the reality of the waveguide madeof highly nonlinear optical materials, could be used as the model parametersfor sub-10fs pulse propagation.

Higher-Order Nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms: A model for sub-10fs pulse propagation