Abstract
This paper discusses the influence of newly differential conformable operators (DCOs) on the behavior of the nonlinear evolutionary systems through their exact solutions. For this objective, we consider the double Schrodinger-Boussinesq system under the impact of the DCOs, which is an important model for explaining the interactive features of the short and moderately long waves in plasma and laser mediums. Modern and general exact solutions are extracted via the Kudryashov method and the advantages of the DCOs. These solutions are nonlinear wave solutions, which are expressed in solitary and periodic forms To better accommodate the impact of the DCOs on the behavior of the presented solutions, some physical demonstrations under appropriate values for the physical factors are given with 3-dimensional (3D), contour, and 2-dimensional (2D) illustrative graphs. Based on the recent literature, disclosing the influence of the DOCs on the nonlinear behavior of the double Schrodinger-Boussinesq system is a modern contribution and generalizes plentiful past outcomes.