Schrödinger expanding lens ansatz for the mass-critical equation (source code)

= Schrödinger expanding lens ansatz for the mass-critical equation
{c}

If $v$ solves the trapped stationary equation, the rescaled quadratic-phase ansatz
$$
u(t,x)=\lambda(t)^{-1}v(x/\lambda(t))
\exp\!\left(-\frac{i}{4}b(t)|x/\lambda(t)|^2+i\gamma(t)\right)
$$
solves the free mass-critical equation when the scaling, chirp, and phase parameters satisfy the associated lens-transform system.