  We propose a new method based on the invariant properties of the ansatz of
the Hirota method which have been discovered recently. This method allows one
to construct new solutions for a certain class the dissipative equations
classified by degrees of homogeneity. This algorithm is similar to the method
of ``dressing'' the solutions of integrable equations. A class of new solutions
is constructed. It is proved that all known exact solutions of the
FitzHygh-Nagumo-Semenov equation can be expressed in terms of solutions of the
linear parabolic equation. This method is compared with the Miura transforms in
the theory of Kortveg de Vris equations. This method allows on to create a
package by using the methods of computer algebra.
