An analysis and application of the supersymmetry (SUSY) in nonrelativistic
quantum mechanics involving two-component wave functions for a stability eq
uation corresponding to two coupled real scalar fields is considered. A gen
eral positive potential for two coupled real scalar fields in 1+1 dimension
s with a SUSY form is investigated in which the associated two-component no
rmal modes are non-negative, which leads to classically stable soliton solu
tions, and an example is explicitly considered. [S0556-2821(98)02322-4].