3 problems

Consider generic rapidly decreasing initial data with a single hump for the focusing semiclassical DS II system, and let $x_c$ and $y_c$ denote the spatial coordinates of gradient-…

Consider rapidly decreasing smooth initial data in $L_{2}(\mathbb{R}^{2})$ with a single maximum, and let $t_c$ be the critical time of the corresponding semiclassical DS II soluti…

Consider rapidly decreasing smooth initial data in $L_{2}(\mathbb{R}^{2})$ with a single maximum. Let the defocusing and focusing variants of the semiclassical DS II equation be th…