Two Component Kaup - Kupershmidt Equation
  The Kaup - Kupershmidt equation is generalized to the system of equations in the same manner as the Korteweg - de Vries equation is generalized to the Hirota - Satsuma equation. The Gelfan - Dikii - Lax and Hamiltonian formulatiohn for this generalization is given. The same construction is repeated for the constrainded Kadomtsev - Pietviashvili - Lax operator what leads to the forur component Kaup - Kupershmidt equation. The modified version of the two component Kaup -Kupershmidt equation is presented and analysed. 
Ziemowit Popowicz