Email this article Generalized Darboux Transformation for the Discrete Kadomtsev–Petviashvili Equation with Self-Consistent Sources
- Authors: Lin R.1, Du Y.1
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Affiliations:
- Department of Mathematical Sciences, School of Sciences
- Issue: Vol 196, No 3 (2018)
- Pages: 1320-1332
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171918
- DOI: https://doi.org/10.1134/S0040577918090064
- ID: 171918
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Abstract
We construct several types of Darboux transformations for the discrete Kadomtsev–Petviashvili equation with self-consistent sources (dKPwS) including the elementary Darboux transformation, the adjoint Darboux transformation, and the binary Darboux transformation. These Darboux transformations can be used to obtain some solutions of the dKPwS. We give some solutions explicitly.
About the authors
Runliang Lin
Department of Mathematical Sciences, School of Sciences
Author for correspondence.
Email: rlin@math.tsinghua.edu.cn
China, Beijing
Yukun Du
Department of Mathematical Sciences, School of Sciences
Email: rlin@math.tsinghua.edu.cn
China, Beijing
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