We study the structure of the flat space wavefunctional in scalar field
    theories with nonlinearly realized symmetries. These symmetries imply soft
    theorems that are satisfied by wavefunction coefficients in the limit where one
    of the external momenta is scaled to zero. After elucidating the structure of
    these soft theorems in the nonlinear sigma model, Dirac-Born-Infeld, and
    galileon scalar theories, we combine them with information about the
    singularity structure of the wavefunction to bootstrap the wavefunction
    coefficients of these theories. We further systematize this construction
    through two types of recursion relations: one that utilizes the flat space
    scattering amplitude plus minimal information about soft limits, and an
    alternative that does not require amplitude input, but does require subleading
    soft information.

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