Integrable conditions and inhomogeneous soliton solutions of a coupled nonlinear Schrödinger system with distributed coefficients

Considering the optical solitons propagation in inhomogeneous birefringent fibers, we study a coupled nonlinear Schrödinger system with distributed coefficients. First, we identify the integrable cases for this system to pass the Painlevé test and admit the Lax pair. Then, we explicitly construct the N-th iterated Darboux transformation and algebraically derive the triple Wronskian solutions which imply the inhomogeneous bright–bright N-soliton …