New examples of the auto-Bäcklund transformations and nonlinear superposition formulas for vector evolution systems

We construct auto-Bäcklund transformations and nonlinear superposition formulas for the third order higher symmetry of Broer-Kaup system, the Jordan-KdV system, vector generalizations of the Drinfel'd-Sokolov-Wilson, the Hirota-Satsuma and the Drinfel'd-Sokolov-Ito integrable systems. Soliton solutions are derived from these results.