Discrete version of the nonlinear Schrödinger equation with linearlyx-dependent coefficients (original) (raw)

This paper presents a discrete analogue of the nonlinear Schrödinger equation with linearly-dependent coefficients, focusing on the analysis of the single-soliton solution. Key sections include the derivation of the equation and a detailed exploration of solution behaviors, particularly in the context of different parameters and initial conditions. The study also examines the continuum limit and the significance of the results in the broader framework of nonlinear differential-difference equations.