Abstract
Abstract. This study investigates the soliton propagation in a one-dimensional discrete system characterized by the Discrete Nonlinear Schrödinger Equation (DNLSE). The DNLSE is a fundamental model in wave phenomena, encompassing a broad spectrum of physical systems ranging from optics to fluid dynamics. The study uses both analytical and numerical computations to comprehensively observe the process. Through the analytical approach, i.e., the variation approximation (VA) method, essential parameters governing soliton evolutions, such as width, center-of-mass position, and linear and quadratic phase-front corrections are determined and graphically interpreted. These results are compared against direct numerical simulations of the main equation for validation. The results show that an increase in linear phase-front correction corresponds to an increase in both the soliton’s initial velocity and propagation distance. Additionally, direct numerical simulation reveals the increasing prominence of the discreteness effects with higher initial velocities.
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