Theoretical and Mathematical Physics

, Volume 196, Issue 3, pp 1320–1332 | Cite as

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

  • Runliang LinEmail author
  • Yukun Du


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.


integrable system with self-consistent sources discrete Kadomtsev–Petviashvili equation Darboux transformation Hirota equation soliton solution 


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mathematical Sciences, School of SciencesTsinghua UniversityBeijingChina

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