Inverse problem for one-dimensional dynamical Dirac system (BC-method)

Mikhail Belishev, Victor Mikhailov

A forward problem for the Dirac system is to find $u=\left(\begin{array}{c}{u}_1(x,t)\\ u_2(x,t)\end{array}\right)$ obeying $iu_t+\begin{pmatrix}0&1\\-1&0\end{pmatrix}u_x+\begin{pmatrix}p&q\\q&-p…