The Relationships Between Burgers Hierarchy And Some Soliton Hierarchies

In this paper, we research the relationships between Burgers hierarchy and some soliton hierarchies. Firstly, we study the transformations from Burgers hierarchy to JM and AKNS hierarchies. Secondly, we consider a 2+1 dimensional soliton hierarchy and research the relation between Burgers hierarchy and the 2+1 dimensional soliton hierarchy. Finally, we research the transformations from Burgers equations to a 2+1 dimensional soliton equation, the 2+1 dimensional breaking soliton equation and the coupled KP equation.