Interactions of Soliton in Weakly Nonlocal Nonlinear Media

Solitary waves or solitons is a nonlinear phenomenon which has been studied intensively due to its application in solid-state matter such as Bose-Einstein condensates state,plasma physics, optical fibers and nematic liquid crystal. In particular, the study of phenomena occurs structure gained interest scholars since their discovery by John Russell 1844. The Nonlinear Schrodinger Equation (NLSE) theoretical framework for investigation pulse propagation fibers. Nonlocality can be found an underlying transport mechanisms long-range forces like electrostatic interactions crystals many-body with condensate plasma waves. length beam width response function are used classify nonlocality materials. can categorized weak nonlocal if broader than the width narrower function, it considered highly nonlocal. This work investigates weakly Cubic NLSE Gaussian external potential. variational approximation (VA) method was employed solve non integrable ordinary differential equation (ODE). soliton parameters computational program simulate center-of-mass position. presence potential, may transmitted, reflected trapped based on critical velocity potential strength. Direct numerical simulation programmed verify results method. Good agreement achieved between direct solution VA results.