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Generalized Darboux Transformation for the Discrete Kadomtsev–Petviashvili Equation with Self-Consistent Sources

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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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, School of Sciences, Tsinghua University, Beijing, China

    Runliang Lin & Yukun Du

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  1. Runliang Lin
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  2. Yukun Du
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Correspondence to Runliang Lin.

Additional information

This research is supported by National Natural Science Foundation of China (Grant No. 11471182).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 196, No. 3, pp. 434–448, September, 2018.

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Lin, R., Du, Y. Generalized Darboux Transformation for the Discrete Kadomtsev–Petviashvili Equation with Self-Consistent Sources. Theor Math Phys 196, 1320–1332 (2018). https://doi.org/10.1134/S0040577918090064

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  • DOI: https://doi.org/10.1134/S0040577918090064

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