Solitons, scattering and blow-up for the nonlinear Schrödinger equation with combined power-type nonlinearities on ${\mathbb{R}}^d\times \mathbb{T}$

Luigi Forcella, Yongming Luo, Zehua Zhao

We investigate the long time dynamics of the nonlinear Schrödinger equation (NLS) with combined powers on the waveguide manifold ${\mathbb{R}}^d\times \mathbb{T}$. Different from the…