On the solitary waves for anisotropic nonlinear Schrödinger models on the plane

Tianxiang Gou, Hichem Hajaiej, Atanas G. Stefanov

The focussing anisotropic nonlinear Schrödinger equation \begin{align*} \mathrm{i} u_t-\partial_{xx} u + (-\partial_{yy})^s u=|u|^{p-2}u \quad \mbox{in}\ \mathbb{R} \times \mathbb{…