Stationary wave solutions for new developed two-waves’ fifth-order Korteweg–de Vries equation

Abstract

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.

Keywords

• Two-wave fifth-order KdV equation
• Kudryashov-scheme
• Sine–cosine function method