The Darboux Transformation Of A Soliton Equation

In the paper, we mainly study the Darboux transformation of a soliton equation and its explicit solutions. There are three sections in this article. In the first section, we show some information of the Darboux transformation and Darboux matrix. In the second section, we will obtain a Darboux transformation of the spectral problem and the soliton equation. In the third section, we get explicit solutions to the soliton equation through the Darboux transformation and the seed solution u = v = w = 0.