Supersymmetric KdV equation: Darboux transformation and discrete systems
Abstract
For the supersymmetric KdV equation, a proper Darboux transformation is presented. This Darboux transformation leads to the B\"acklund transformation found early by Liu and Xie liu2. The Darboux transformation and the related B\"acklund transformation are used to construct integrable super differential-difference and difference-difference systems. The continuum limits of these discrete systems and of their Lax pairs are also considered.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.