Optical bidirectional wave-solutions to new two-mode extension of the coupled KdV-Schrodinger equations

In this work, we present new two-mode extension to the coupled KdV-Schrodinger equations. This new model arises in many applications in the field of optics, communications and other engineering sciences. It describes the propagation of symmetric bidirectional solitary-waves and their interaction is dependent on a phase-velocity parameter. The celebrated Kudryashov-expansion method is used to find explicit solutions to the new model. The obtained solutions are analyzed by providing 2D and 3D plots and some physical properties are drawn.