  We represent an integration algorithm combining the characteristics method
and Hopf-Cole transformation. This algorithm allows one to partially integrate
a large class of multidimensional systems of nonlinear Partial Differential
Equations (PDEs).
  A specific generalization of the equation describing the dynamics of
two-dimensional viscous fluid and a generalization of the Korteweg-de Vries
equation are examples of such systems. The richness of available solution space
for derived nonlinear PDEs is discussed.
