Valchev T.2024-07-102024-07-102024-07-102024-07-102010-01-011314-56731312-519210.7546/jgsp-19-2010-73-86SCOPUS_ID:84866866955https://rlib.uctm.edu/handle/123456789/253We develop the Fourier transform interpretation of the inverse scattering method for nonlinear integrable evolution equations associated with a ℤ3 reduced Zakharov-Shabat system for the Lie algebra sl(3,C). A simple representative of this integrable hierarchy is the well-known Kaup-Kupershmidt equation. Our results admit a natural extention for nonlinear equations connected to a deeply reduced Zakharov-Shabat system related to an arbitrary simple Lie algebra.enArticle