2018•Theoretical and Mathematical PhysicsRequires access

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

Runliang Lin, Yukun Du

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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Key concepts: Darboux integral, Transformation (genetics), Mathematics, Binary number, Construct (python library), Algebra over a field, Pure mathematics, Mathematical physics