Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Infinitely Many Conservation Laws and Darboux Transformation for a New Discrete System
Zhen-Yun Qin
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Keywords: discrete integrable system, conservation law, Darboux transformation, exact solution
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2008 Volume 77 Issue 3 Pages 034002

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Abstract
Recently, Mukherjee, Choudhury, and Chowdhury presented a new discrete integrable system. Based on its Lax pairs, we construct infinitely many conservation laws and Darboux transformation for the discrete system. As an application of the Darboux transformation, we carry out a new exact solution of the discrete system.
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© The Physical Society of Japan 2008
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