On blowup solution in NLS equation under dispersion or nonlinearity management

Jing Li, Cui Ning, Xiaofei Zhao

In this paper, we study the dispersion-managed nonlinear Schrödinger (DM-NLS) equation $$i{\partial }_{t}u(t,x)+{\hat{I}}^3(t)\hat{I}”u(t,x)=|u(t,x){|}^{\frac{4}{d}}u(t,x),x\in {\mathbb{R}}^d,$$ and the nonl…