Supersymmetric partners of the trigonometric Poeschl-Teller potentials

The first- and second-order supersymmetry transformations are used to generate Hamiltonians with known spectra departing from the trigonometric Poeschl-Teller potentials. The several possibilities of manipulating the initial spectrum are fully explored, and it is shown how to modify one or two levels, or even to leave the spectrum unaffected. The behaviour of the new potentials at the boundaries of the domain is studied