5 papers
1+1 wave maps into symmetric spaces
Chuu-Lian Terng, Karen Uhlenbeck
We explain how to apply techniques from integrable systems to construct -soliton homoclinic wave maps from the periodic Minkowski space to a compact Lie group,…
On the well-posedness of the wave map problem in high dimensions
Andrea Nahmod, Atanas Stefanov, Karen Uhlenbeck
We construct a gauge theoretic change of variables for the wave map from into a compact group or Riemannian symmetric space, prove a new multiplication theorem for m…
On Schrödinger maps
Andrea Nahmod, Atanas Stefanov, Karen Uhlenbeck
We study the question of well-posedness of the Cauchy problem for Schrödinger maps from $\rone \times \rtwo$ to the sphere $\stwo$ or to , the hyperbolic space. The…
Schrodinger flows on Grassmannians
Chuu-Lian Terng, Karen Uhlenbeck
The geometric non-linear Schrodinger equation (GNLS) on the complex Grassmannian manifold M is the Hamiltonian equation for the energy functional on C(R,M) with respect to the symp…
Bäcklund Transformations and Loop Group Actions
Chuu-Lian Terng, Karen Uhlenbeck
We construct a local action of the group of rational maps from to on local solutions of flows of the ZS-AKNS -hierarchy. We show that the actions of simple…