Stationary Wave Solutions for New Developed Two-waves' Fifth-Order Korteweg-De Vries Equation

Abstract

In this work, we present a new two-waves' version of the fifth-order Korteweg-de Vries model. This model describes the propagation of moving two-waves under the influence of dispersion, nonlinearity, and phase velocity factors. We seek possible stationary wave solutions to this new model by means of Kudryashov-expansion method and sine-cosine function method. Also, we provide a graphical analysis to show the effect of phase velocity on the motion of the obtained solutions.