Local Schrödinger flow into Kähler manifolds

Ding, W. Y., Wang, Y. D., Schröinger flows of maps into symplectic manifolds, Science in China, Ser. A, 1998, 41 (7): 746.

Landau, L. D., Lifshitz, E. M., On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, Phys. Z. Sowj., 1935, 8: 153; reproduced in Collected Papers of L. D. Landau, New York: Pergaman Press, 165, 101–114.

Faddeev, L., Takhtajan, L. A., Hamiltonian Methods in the Theory of Solitons, Berlin-Heidelberg-New York: Springer-Verlag, 1987.

Nakamura, K., Sasada, T., Soliton and wave trains in ferromagnets, Phys. Lett. A, 1974, 48: 321.

Zhou, Y., Guo, B., Tan, S., Existence and uniqueness of smooth solution for system of ferromagnetic chain, Science in China, Ser. A, 1991, 34(3): 257.

Pang, P., Wang, H., Wang, Y. D., Schrödinger flow of map into Kähler manifolds, Asian J. of Math., inpress.

Wang, H., Wang, Y. D., Global inhomogeneous Schrödinger flow, Int. J. Math., 2000, 11: 1079.

Pang, P., Wang, H., Wang, Y. D., Local existence for inhomogeneous Schrödinger flow of maps into Kähler manifolds, Acta Math. Sinica, English Series, 2000, 16: 487.

Terng, C. L., Uhlenbeck, K., Schrödinger flows on Grassmannians, in Integrable Systems, Geometry and Topology, Somerville, MA: International Press, in press.

Chang, N., Shatah, J., Uhlenbeck, K., Schrödinger maps, Commun. Pure Appl. Math., 2000, 53: 157.

Wang, Y. D., Ferromagnetic chain equation from a closed Riemannian manifold into S2, Int. J. Math., 1995, 6: 93.

Wang, Y. D., Heisenberg chain systems from compact manifolds into S2, J. Math. Phys., 1998, 39(1): 363.

Sulem, P., Sulem, C., Bardos, C., On the continuous limit for a system of classical spins, Commun. Math. Phys., 1986, 107: 431.

Aubin, T., Nonlinear Analysis on Manifolds, Monge-Ampère Equations, Berlin-Heidelberg-New York: Springer-Verlag, 1982.

Eells, I., Lemaire, L., Another report on harmonic maps, Bull. London Math. Soc., 1988, 20: 385.