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A Hierarchy of Differential-Difference Equations and Their Integrable Couplings |
| LUO Lin 1,2;FAN En-Gui1 |
| 1School of Mathematics, Fudan University, Shanghai 2004332Department of Mathematics, Xiaogan University, Xiaogan 432100 |
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| Cite this article: |
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LUO Lin, FAN En-Gui 2007 Chin. Phys. Lett. 24 1444-1447 |
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Abstract Starting from a discrete spectral problem, the corresponding hierarchy of nonlinear differential-difference equation is proposed. It is shown that the hierarchy possesses the bi-Hamiltionian structures. Further, two integrable coupling systems for the hierarchy are constructed through enlarged Lax pair method.
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02.90.+p
05.45.Yv
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Received: 11 April 2007
Published: 17 May 2007
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| PACS: |
02.90.+p
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(Other topics in mathematical methods in physics)
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05.45.Yv
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(Solitons)
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