New Two-Componet Coupled KdV Equation and its Connection with the   Generalized Harry Dym Equation
  It is shown that, two different Lax operators in the Dym hierarchy, produce two generalized coupled Harry Dym equations. These equations transform, via the reciprocal link, to the coupled two-component KdV system. The first equation gives us new integrable two-component KdV system while the second reduces to the known symmetrical two-component KdV equation. For this new two-component coupled KdV system the Lax representation and Hamiltonian structure is defined. 
Ziemowit Popowicz
nlin.SI