A Discrete Inverse Scattering Transform for Q3δ
Abstract
We derive a fully discrete Inverse Scattering Transform as a method for solving the initial-value problem for the Q3δ lattice (difference-difference) equation for real-valued solutions. The initial condition is given on an infinite staircase within an N-dimensional lattice and must obey a given summability condition. The forward scattering problem is one-dimensional and the solution to Q3δ is expressed through the solution of a singular integral equation. The solutions obtained depend on N discrete independent variables and N parameters.
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.