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A Chain of Type II and Its Exact Solutions |
| Yu Zhang, Ru-Guang Zhou** |
School of Mathematics and Statistics, Jiangsu Normal University Xuzhou 221116
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| Cite this article: |
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Yu Zhang, Ru-Guang Zhou 2016 Chin. Phys. Lett. 33 110203 |
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Abstract The exact solutions of a chain of type II are investigated. The chain of type II is first transformed to an integrable differential-difference equation, which has the Kaup–Newell spectral problem as its continuous spatial spectral problem and a Darboux transformation of the Kaup–Newell equation as its discrete temporal spectral problem. Then, with these spectral problems, a Darboux transformation of the transformed equation is constructed. Finally, as an application of the Darboux transformation, an exact solution of the transformed equation and thus the chain of type II are presented.
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Received: 30 August 2016
Published: 28 November 2016
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| PACS: |
02.30.Ik
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(Integrable systems)
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45.05.+x
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(General theory of classical mechanics of discrete systems)
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11.10.Lm
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(Nonlinear or nonlocal theories and models)
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11271168 and 11671177, the Priority Academic Program Development of Jiangsu Higher Education Institutions, and the Innovation Project of the Graduate Students in Jiangsu Normal University. |
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