Abstract
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.
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