  We consider the modified Korteweg-de Vries equation, $ u_{xxx} + 6u^2 u_x +
u_t \ =\ 0 $, and explore its dynamics in {\it spatial} direction. Higher $x$
derivatives bring about the {\it ghosts}. We argue that these ghosts are
benign, i.e. the classical dynamics of this system does not involve a blow-up.
This probably means that also the associated quantum problem is well defined.
