Darboux Transformation Of The Modified Jaulent-Miodek Equation

In this paper, Darboux transformation of the Modified Jaulent-Miodek (MJM) equa-tion is studied. Firstly, the history of the soliton theory along with some classical methods which have been used to obtain explicit solutions of soliton equations are introduced. Then the important Darboux transformation of the MJM equation is constructed. According to the chosen "seed solution", explicit solutions of this equation are obtained and some inter-esting figures are plotted. Finally, infinitely many conservation laws of the MJM equation are derived based on its Lax pairs.