  We perform a non-perturbative analysis of the strong interaction between
gapless nodal fermions and the nematic order parameter in two-dimensional
d_{x^2-y^2} superconductors. We predict that the critical nematic fluctuation
can generate a dynamical nodal gap if the fermion flavor N is smaller than a
threshold N_c. Such gap generation leads to an additional is-wave Cooper
pairing instability, which induces a fully gapped d_{x^2-y^2}+is
superconducting dome in the vicinity of the nematic quantum critical point. The
opening of a dynamical gap has important consequences, including the saturation
of fermion velocity renormalization, a weak confinement of fermions and the
suppression of observable quantities.
