Reflectionless analytic difference operators I. algebraic framework

Abstract

We introduce and study a class of analytic difference operators admitting reflectionless eigenfunctions. Our construction of the class is patterned after the Inverse Scattering Transform for the reflectionless self-adjoint Schrödinger and Jacobi operators corresponding to KdV and Toda lattice solitons.

References in corpus (1)

• Reflectionless analytic difference operators III. Hilbert space aspects

Cited by in corpus (4)

• Invisibility in non-Hermitian tight-binding lattices
• Optical lattices with exceptional points in the continuum
• Reflectionless analytic difference operators III. Hilbert space aspects
• Reflectionless analytic difference operators II. Relations to soliton systems