Blowing up solutions of the Novikov-Veselov equation (Q5966370)

The authors deal with the Novikov-Veselov equation \[ U_t=\partial^3U+ \overline\partial^3U+3\partial(V\cdot U)+3\overline\partial\cdot U)=0,\quad \overline\partial V=\partial U,\tag{1} \] where \(\partial=\tfrac 12(\partial_x-i\partial_y)\) and \(\overline\partial=\tfrac 12(\partial_x+i\partial_y)\). The authors show that the solution of (1) with initial data \(U|_{t=0}=U_0\) becomes singular, in finite time. The form of a singularity is presented.