“…Eventually, when we interpret the equation parameters as independent variables, two more operators appear and involve these parameters in the group transformations; these operators correspond to scaling transformations of the respective variables a and ν [19]. Restricting the group admitted by manifold (22) on the solution u = U(t, x, a, ν) of the Cauchy problem, i.e., verifying the FS condition, results in an algebraic relation, which expresses the coordinate of the infinite-dimensional subgroup generator (the function α) through the coordinates of the remaining eight operators at any time t, including t = 0 when this solution U(0, x, a, ν) = f (x) is known from boundary condition (23). Using the standard representation for the solution of a linear equation on the function α with the initial value α(0, x, a, ν) obtained from the FS condition and substituting this representation in the formula that determines the general element of the Lie algebra, we obtain the desired RGS operators.…”