On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation (Q2226327)

The author consider the Chen-Lee-Liu derivative nonlinear Schrödinger (CLL-NSL) equation \[ ir_t+r_{zz}+|r|^2r-|r|^2r_z=0. \] Its solution is found with the use of a certain Riemann-Hilbert problem on the boundary curve \(\{\zeta\colon \left(\zeta^2-\frac{1}{2}\right)^2\in\mathbb R\}\) with a 2-by-2 matrix coefficient.