A deformed reduced semi-discrete Kaup–Newell equation, the related integrable family and Darboux transformation

Xi-Xiang Xu

Applied Mathematics and Computation, 2015, vol. 251, issue C, 275-283

Abstract: A deformed reduced semi-discrete Kaup–Newell equation and its related integrable family are derived from discrete zero curvature equation. A Darboux transformation of Lax pair of this equation is established with the help of gauge transformation. By means of the resulting Darboux transformation, three exact solutions are given.

Keywords: Integrable differential–difference equation; Deformed reduced semi-discrete Kaup–Newell equation; Lax pair; Darboux transformation; Exact solution (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:275-283

DOI: 10.1016/j.amc.2014.11.063

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