On the compactness of the support of solitary waves of the complex saturated nonlinear Schr{ö}dinger equation and related problems

Pascal Bégout, Jesús Ildefonso Díaz

We study the vectorial stationary Schr{ö}dinger equation -$\Delta$u + a U + b u = F, with a saturated nonlinearity U = u/|u| and with some complex coefficients (a, b) $\in$ C 2 . Beside…