  We show that the auto-Backlund transformations of the sine-Gordon,
Korteweg-deVries, nonlinear Schrodinger, and Ernst equations are related to
their respective CPT symmetries. This is shown by applying the CPT symmetries
of these equations to the Riccati equations of the corresponding
pseudopotential functions where the fields are allowed to transform into new
solutions while the pseudopotential functions and the Backlund parameter are
held fixed.
