Discrete KP equation with self-consistent sources
arXiv:1310.4636 · doi:10.1016/j.physleta.2014.04.021
Abstract
We show that the discrete Kadomtsev-Petviashvili (KP) equation with sources obtained recently by the "source generalization" method can be incorporated into the squared eigenfunction symmetry extension procedure. Moreover, using the known correspondence between Darboux-type transformations and additional independent variables, we demonstrate that the equation with sources can be derived from Hirota's discrete KP equations but in a space of higher dimension. In this way we uncover the origin of the source terms as coming from multidimensional consistency of the Hirota system itself.
11 pages; one reference added, several typos or grammatical errors corrected (v2)
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Cited by in corpus (7)
- Self-Consistent Sources for Integrable Equations via Deformations of Binary Darboux Transformations
- On Reductions of the Hirota-Miwa Equation
- Discrete Darboux system with self-consistent sources and its symmetric reduction
- Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy
- Non-autonomous multidimensional Toda system and multiple interpolation problem
- Soliton Equations with Self-Consistent Sources
- Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy