  The study of nonlinear waves that collapse in finite time is a theme of
universal interest, e.g. within optical, atomic, plasma physics, and nonlinear
dynamics. Here we revisit the quintessential example of the nonlinear
Schrodinger equation and systematically derive a normal form for the emergence
of blowup solutions from stationary ones. While this is an extensively studied
problem, such a normal form, based on the methodology of asymptotics beyond all
algebraic orders, unifies both the dimension-dependent and power-law-dependent
bifurcations previously studied; it yields excellent agreement with numerics in
both leading and higher-order effects; it is applicable to both infinite and
finite domains; and it is valid in all (subcritical, critical and
supercritical) regimes.
