Time dynamics of Bethe ansatz solvable models

The dynamical Bethe wavefunction takes the same form as the stationary Bethe wavefunction except for time varying Bethe parameters and a complex phase prefactor. From this, we derive a set of first order nonlinear coupled differential equations for the Bethe parameters, called the dynamical Bethe equations. Talk is based on:
https://arxiv.org/abs/1905.03515
https://arxiv.org/abs/1708.08696