Abstract
The paper deals with the inverse scattering transforms for nonlocal complex reverse-spacetime multicomponent integrable modified Korteweg–de Vries (mKdV) equations. We establish associated Riemann–Hilbert problems and determine their solutions by the Sokhotski–Plemelj formula. The inverse scattering problems consist of Gelfand–Levitan–Marchenko type equations for the generalized matrix Jost solutions and the recovery formula for the potential. When reflection coefficients are zero, the corresponding Riemann–Hilbert problems yield soliton solutions to the nonlocal complex reverse-spacetime mKdV equations.