Nonlinearity Management in Higher Dimensions

  title={Nonlinearity Management in Higher Dimensions},
  author={Panayotis G. Kevrekidis and Dmitry E Pelinovsky and Atanas Stefanov}
In the present short communication, we revisit nonlinearity management of the timeperiodic nonlinear Schrödinger equation and the related averaging procedure. By means of rigorous estimates, we show that the averaged nonlinear Schrödinger equation does not blow up in the higher dimensional case so long as the corresponding solution remains smooth. In… CONTINUE READING