A class of double-well like potentials in 1+1 dimensions via SUSSY QM

The connection between the soliton solutions for potentials in I + I dimens ions and supersymmetry in the context of non-relativistic quantum mechanics is explored. Examining the equivalence between a supersymmetric partner an d the stability equation of the phi(6) model, which is a Schrodinger-like e quation for the normal modes, we construct two new supersymmetric partners, which lends us to a new class of isospectral potentials in quantum mechani cs and a. new class of potential nonlinear models in bidimensional spacetim e. We show that such new potentials in I + I dimensions are double-well lik e potentials.