Soliton Solutions Of The Darboux Transform Of Three Related Equations

This paper studies mainly the Darboux transformation. Based on this method, we obtain the new explicit solutions of three equations. From a trivial seed u=0, v=1, we use the Darboux transformation to generate new multi-soliton solutions of three equations, then discuss the first two cases N=1 and N=2, suitably choosing parameters, we plot the figures of the explicit solutions.