C. Terng

activity

19982004

most citedGeometries and Symmetries of Soliton equations and Integrable Elliptic equations

8 citations · 10 across the 4 of their papers we have counts for

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7 papers · 1 filter

math.DG2004★ 1 cited

Curved flats, exterior differential systems, and conservation laws

Chuu-Lian Terng, Erxiao Wang

Let $σ$ be an involution of a real semi-simple Lie group $U$ , $U_{0}$ the subgroup fixed by $σ$ , and $U / U_{0}$ the corresponding symmetric space. Ferus and Pedit called a submanifold $…

math.DG2004★ 1 cited

Backlund transformations, Ward solitons, and unitons

Bo Dai, Chuu-Lian Terng

The Ward equation, also called the modified 2+1 chiral model, is obtained by a dimension reduction and a gauge fixing from the self-dual Yang-Mills field equation on $R^{2, 2}$ . It…

math.DG2003

1+1 wave maps into symmetric spaces

Chuu-Lian Terng, Karen Uhlenbeck

We explain how to apply techniques from integrable systems to construct $2 k$ -soliton homoclinic wave maps from the periodic Minkowski space $S^{1} \times R^{1}$ to a compact Lie group,…

math.DG2002★ 8 cited

Geometries and Symmetries of Soliton equations and Integrable Elliptic equations

Chuu-Lian Terng

We give a review of the systematic construction of hierarchies of soliton flows and integrable elliptic equations associated to a complex semi-simple Lie algebra and finite order a…

math.DG2001

Completely integrable curve flows on Adjoint orbits

Chuu-Lian Terng, Gudlaugur Thorbergsson

It is known that the Schrödinger flow on a complex Grassmann manifold is equivalent to the matrix non-linear Schrödinger equation and the Ferapontov flow on a principal Adjoint U(n…

math.DG1999

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…