  Reciprocal transformations mix the role of the dependent and independent
variables of (nonlinear partial) differential equations to achieve simpler
versions or even linearized versions of them. These transformations help in the
identification of a plethora of partial differential equations that are spread
out in the physics and mathematics literature.
  Two different initial equations, although seemingly unrelated at first, could
be the same equation after a reciprocal transformation. In this way, the big
number of integrable equations that are spread out in the literature could be
greatly diminished by establishing a method to discern which equations are
disguised versions of a same, common underlying equation. Then, a question
arises: Is there a way to identify different differential equations that are
two different versions of a same equation in disguise?
