Construction of solutions for an integrable differential-difference equation by Darboux–Bäcklund transformation
| Autor: | Ning Zhang, Xi-Xiang Xu, Rong-Wu Lu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Integrable system Applied Mathematics Differential difference equations 020206 networking & telecommunications 02 engineering and technology Computational Mathematics Matrix (mathematics) 020901 industrial engineering & automation Transformation (function) 0202 electrical engineering electronic engineering information engineering Gauge theory Mathematical physics Mathematics |
| Zdroj: | Applied Mathematics and Computation. 361:389-397 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2019.05.049 |
| Popis: | We first establish a one-fold Darboux–Backlund 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–Backlund transformation, we derive N-fold Darboux–Backlund transformation. Finally, using the obtained Darboux–Backlund transformation, two exact solutions are worked out. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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