Dark soliton solutions of the coupled Hirota equation in nonlinear fiber

Abstract

We consider the coupled Hirota equation which describes the pulse propagation in a coupled fiber with higher-order dispersion and self-steepening. Using the Painlevé analysis, we obtain the parametric conditions for the existence of bright and dark solitons. For the identified case(s), we also construct the common Lax pair and the soliton solutions are constructed for the dark soliton case. Also we extend our results to N-field propagation and the explicit Lax pair is constructed.