Symbolic computation on tunable nonautonomous solitons in inhomogeneous NLS system with generalized external potential

In this paper, propagation of optical solitons in a generalized nonautonomous nonlinear Schrödinger equation with more generalized external potential is investigated. We constructed the Lax pair for this system and obtained two-soliton solutions by employing Darboux transformation. Using the two-soliton solution, soliton propagation in inhomogeneous nonlinear media with generalized external potential is investigated for different forms of variable coefficients which are important in the soliton control.