  Writing the Hirota-Satsuma (HS) system of equations in a symmetrical form we
find its local and new nonlocal reductions. It turns out that all reductions of
the HS system are Korteweg-de Vries (KdV), complex KdV, and new nonlocal KdV
equations. We obtain one-soliton solutions of these KdV equations by using the
method of Hirota bilinearization.
