On the blow-up of solutions of a system of nonlinear Schrödinger equations
The author proves that, under several conditions on the initial value and parameters, a solution of the nonlinear system of Schrödinger equations \[ {{\partial u_k}\over{\partial t}}=ia_k\Delta u_k+f_k(u,\overline{u}), \qquad x\in\mathbb{R}^n, \quad t\geq0, \quad k=1,\dots,m \] blows up in a finite time.
scientific article; zbMATH DE number 939519