The effect of dispersion or diffraction on zero-velocity solitons in s
tudied for the generalized massive Thirring model describing a nonline
ar optical fiber with grating or parallel-coupled planar waveguides wi
th misaligned axes. The Thirring solitons existing at zero dispersion/
diffraction are shown numerically to be separated by a finite gap from
three isolated soliton branches. Inside the gap, there is an infinity
of multisoliton branches. Thus, the Thirring solitons are structurall
y unstable. In another parameter region (far from the Thirring limit),
solitons exist everywhere.