Chin. Phys. Lett.  2008, Vol. 25 Issue (9): 3095-3098    DOI:
Original Articles |
Integrable Rosochatius Deformations of the Restricted cKdV Flows
DAI Ji-Long, ZHOU Ru-Guang
School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116
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DAI Ji-Long, ZHOU Ru-Guang 2008 Chin. Phys. Lett. 25 3095-3098
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Abstract Three novel finite-dimensional integrable Hamiltonian systems of Rosochatius type and their Lax representations are presented. We make a deformation for the Lax matrixes of the Neumann type, the Bargmann type and the high-order symmetry type of restricted cKdV flows by adding an additional term and then prove that this kind of deformation does not change the r-matrix relations. Finally the new integrable systems are generated from these deformed Lax matrices.
Keywords: 20.30.Ik     
Received: 16 May 2008      Published: 29 August 2008
PACS:  20.30.Ik  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2008/V25/I9/03095
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