Construction of solutions for an integrable differential-difference equation by Darboux–Bäcklund transformation

Rong-Wu Lu, Xi-Xiang Xu and Ning Zhang

Applied Mathematics and Computation, 2019, vol. 361, issue C, 389-397

Abstract: We first establish a one-fold Darboux–Bäcklund transformation for the integrable differential-difference equation which is presented in Ref. [6] by means of a proper gauge transformation matrix. Then, as a result of the N times one-fold Darboux–Bäcklund transformation, we derive N-fold Darboux–Bäcklund transformation. Finally, using the obtained Darboux–Bäcklund transformation, two exact solutions are worked out.

Keywords: Integrable different-difference equation; Lax pair; Gauge transformation; Darboux–Bäcklund transformation; Exact solution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:389-397

DOI: 10.1016/j.amc.2019.05.049

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