The Neumann Type Systems and Algebro-Geometric Solutions of a System of Coupled Integrable Equations |
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Authors: | Jinbing Chen Zhijun Qiao |
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Affiliation: | (1) Department of Mathematics, Concordia University, 1455 de maisonneuve Blvd.West, Montreal, QC, H3G1M8, Canada |
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Abstract: | A system of (1+1)-dimensional coupled integrable equations is decomposed into a pair of new Neumann type systems that separate the spatial and temporal variables for this system over a symplectic submanifold. Then, the Neumann type flows associated with the coupled integrable equations are integrated on the complex tour of a Riemann surface. Finally, the algebro-geometric solutions expressed by Riemann theta functions of the system of coupled integrable equations are obtained by means of the Jacobi inversion. |
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