  A coupled bosonic massive Thirring model (BMTM), involving an interaction
between the two independent spinors, is introduced and shown to be integrable.
By incorporating suitable reductions between the field components of the
coupled BMTM, five novel integrable models with various type of nonlocal
interactions are constructed. Lax pairs satisfying the zero curvature condition
are obtained for the coupled BMTM and for each of the related nonlocal models.
An infinite number of conserved quantities are derived for each of these models
which confirms the integrability of the systems. It is shown that the coupled
BMTM respects important symmetries of the original BMTM such as parity, time
reversal, global $U(1)$-gauge and the proper Lorentz transformations.
Similarly, all the nonlocal models obtained from the coupled BMTM remain
invariant under combined operation of parity and time reversal transformations.
However, it is found that only one of the nonlocal models is invariant under
proper Lorentz transformation and two other models are invariant under global
$U(1)$-gauge transformation. By using ultralocal Poisson bracket relations
among the elements of the Lax operator, it is shown that the coupled BMTM and
one of the nonlocal models are completely integrable in the Liouville sense.
