Article ID Journal Published Year Pages File Type
4627036 Applied Mathematics and Computation 2015 9 Pages PDF
Abstract

•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.

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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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