ScholarLens Back to search
2014•Applied and Computational MathematicsOpen access

Darboux Transformation of Lax Pair for an Integrable Coupling of the Integrable Differential-Difference Equation

Xi-Xiang Xu

Open full text 1 citations

Abstract

An integrable coupling of the known integrable differential-difference equation and its Lax pair are presented. Based on the gauge transformation between the corresponding four-by- four matrix spectral problems, a Darboux transformation of Lax pair for the integrable coupling is established. As an application of the obtained Darboux transformation, an explicit solution is given.

Open-access reader

About this research paper

What this paper is about

An integrable coupling of the known integrable differential-difference equation and its Lax pair are presented. Based on the gauge transformation between the corresponding four-by- four matrix spectral problems, a Darboux transformation of Lax pair for the integrable coupling is established. As an application of the obtained Darboux transformation, an explicit solution is given.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

An integrable coupling of the known integrable differential-difference equation and its Lax pair are presented. Based on the gauge transformation between the corresponding four-by- four matrix spectral problems, a Darboux transformation of Lax pair for the integrable coupling is established. As an application of the obtained Darboux transformation, an explicit solution is given.

Key concepts: Integrable system, Lax pair, Darboux integral, Transformation (genetics), Mathematics, Coupling (piping), Matrix (chemical analysis), Gauge (firearms)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Darboux Transformation of Lax Pair for an Integrable Coupling of the Integrable Differential-Difference Equation — Research Paper | ScholarLens