The Neumann Type Systems and Algebro-Geometric Solutions of a System of Coupled Integrable Equations

Author:

Chen Jinbing,Qiao Zhijun

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Mathematical Physics

Reference39 articles.

1. Alber, M.S., Camassa, R., Fedorov, Y.N., Holm, D.D., Marsden, J.E.: The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. Commun. Math. Phys. 221, 197 (2001)

2. Arnold, A.I.: Mathematical Methods of Classical Mechanics. Springer, Berlin (1978)

3. Belokolos, E.D., Bobenko, A.I., Enolskii, V.Z., Its, A.R., Matveev, V.B.: Algebro-geometric approach to nonlinear evolution equations. Springer Series in Nonlinear Dynamics. Springer-Verlag (1994)

4. Cao, C.W.: Nonlinearization of Lax system for the AKNS hierarchy. Sci. China A 33, 528 (1990)

5. Cao, C.W., Geng, X.G.:Classical integrable systems generated through nonlinearization of eigenvalue problems. In: Proc. Conf. on Nonlinear Physics, Shanghai 1989, vol. 68. Research Reports in Physics, Springer, Berlin (1990)

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