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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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Cite this article: |
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.
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Keywords:
20.30.Ik
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Received: 16 May 2008
Published: 29 August 2008
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