“…For the current necessities, we will extract only the part that is of importance to us, and that is the fact that group (31) has been produced by induction as a a, b, and c parameters group induced by group (30), under the condition of H(x, y) functions invariance, given by (29). Reciprocally, taking into account groups (30) and (31) for variables a, b, and c and parameters x, y, respectively, the resulting three parameters invariant manifolds families are, indeed, only the functions H(x, y). This fact needs to be detailed, because it can be generalized with important physical applications, providing, in particular, some physical meanings to the a, b, and c parameters.…”