Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
PUSHPA PUBLISHING HOUSE
DOI: 10.1186/s13662-018-1751-3
Keywords
Discrete Ragnisco-Tu hierarchy; N-Fold Darboux transformation; Soliton solutions
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Funding
- Natural Science Foundation of China [11271008, 61072147]
- SDUST Research Fund [2018TDJH101]
- Natural Science Foundation of Shandong Province [ZR2018MA017, ZR2016AL04, ZR2016FL05, ZR2017MF039]
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In this paper, based on gauge transformation of Lax pairs, we construct an N-fold Darboux transformation for the discrete Ragnisco-Tu equation which is a typical member in the Ragnisco-Tu hierarchy. By using the N-fold Darboux transformation, new multi-soliton solutions of the discrete Ragnisco-Tu equation can be directly constructed starting from a seed solution.
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