Using the coupled amplitude phase technique, we find general analytical bright solitary wave solution for the higher order nonlinear Schrudinger equation with cubic-quintic terms which describes the effects of femto-second optical soliton pulse propagation in the non-Kerr medium. Also, we find the analytical dark soliton solution by Jacobin elliptical function.
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G. Narayanasamy (2006) studied this question.
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