We solve the unique continuation property: If u is a solution of the higher order nonlinear Schrödinger equation with constant coefficients with t_1 < t_2 which is sufficiently smooth and such that supp u( . , t_j) \subset (a, b), -\infty < a < b < \infty, j = 1, 2, then u \equiv 0.
BISOGNIN, VANILDE and VILLAGRAN, OCTAVIO PAULO VERA (2007) "On the Unique Continuation Property for the Higher Order Nonlinear Schrödinger Equation With Constant Coefficients," Turkish Journal of Mathematics: Vol. 31: No. 3, Article 4. Available at: https://journals.tubitak.gov.tr/math/vol31/iss3/4