Evolution of dark optical soliton in birefringent fiber of Kundu–Eckhaus equation with four wave mixing and inter-modal dispersion

Abstract The dark soliton propagation in birefringent fiber of Kundu–Eckhaus equation with four wave mixing and inter-modal dispersion is investigated. We consider the Kundu–Eckhaus (KE) equation with the inclusion of four wave mixing term and inter-modal dispersion term. The developed Jacobi elliptic function expansion method is used to construct the solution of KE equation. New results are presented which includes dark soliton solution and using it to analysis the inter-model dispersion in birefringent fiber of the KE equation with four wave mixing.