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

作者：

Highlights：

• We propose a deformed reduced semi-discrete Kaup–Newell equation.

• We derive the related integrable family through discrete zero curvature equation.

• We establish a Darboux transformation of Lax pair of the proposed equation.

• Three exact solutions are given.

摘要

•We propose a deformed reduced semi-discrete Kaup–Newell equation.•We derive the related integrable family through discrete zero curvature equation.•We establish a Darboux transformation of Lax pair of the proposed equation.•Three exact solutions are given.

论文关键词：Integrable differential–difference equation,Deformed reduced semi-discrete Kaup–Newell equation,Lax pair,Darboux transformation,Exact solution

论文评审过程：Available online 6 December 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.11.063