Articles you may be interested inWe present exact solutions for the Schrödinger equation with the hyperbolic doublewell potential V p q (x) = −V 0 sinh p (αx)/cosh q (αx). We show that the model preserves a finite dimensional polynomial space for some p and q. Thus using the Bethe ansatz method, we obtain closed form expressions for the spectrum and wavefunction, as well as the allowed parameter for the class V p 6 (x), which is contrary to a report in a recent article [C. A. Downing, J. Math. Phys. 54, 072101 (2013)]. We also discuss the hidden sl 2 algebraic structure of the class. C 2014 AIP Publishing LLC.