3 papers
nlin.SI2025
General Zakharov-Shabat equations without Lax operators
Masatoshi Noumi, Takashi Takebe
The operators in the Zakharov-Shabat equations of integrable hierarchies are usually defined from the Lax operators. In this article it is shown that the Zakharov-Shabat equations…
hep-th2025
A basic triad in Macdonald theory
A. Mironov, A. Morozov, A. Popolitov
Within the context of wavefunctions of integrable many-body systems, rational multivariable Baker-Akhiezer (BA) functions were introduced by O. Chalykh, M. Feigin and A. Veselov an…
hep-th2025
Non-commutative creation operators for symmetric polynomials
A. Mironov, A. Morozov
We reconsider in modern terms the old discovery by A. Kirillov and M. Noumi, who devised peculiar operators adding columns to Young diagrams enumerating the Schur, Jack and Macdona…