Explicit Blowing-up Solutions to the Schrödinger Maps from ${\mathbf{R}}^2$ to the Hyperbolic 2-Space ${\mathbf{H}}^2$

Qing Ding

In this article, we prove that the equation of the Schrödinger maps from ${\mathbf{R}}^2$ to the hyperbolic 2-space ${\mathbf{H}}^2$ is SU(1,1)-gauge equivalent to the following 1+2 dimensio…