Multi-form solitary wave solutions of the KdV-Burgers-Kuramoto equation

Abstract This work is dedicated to the construction of solitary wave solutions of the KdV-Burgers-Kuramoto equation. The peculiarity of the solutions obtained for this purpose is that they result from the combination of solitary waves of the bright and dark type thus generating multi-form solutions which are also called hybrid solitary waves. The Bogning-Djeumen Tchaho-Kofané method is used to obtain the results. The reliability and feasibility of these results are tested using numerical simulations.