2024/12/03 by I. T. Habibullin, Habibullin, I. T., A. R. Khakimova +1
Materials Science · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Quasicrystal Structures and Properties
paper · pdf · doi:10.48550/arxiv.2412.02221
openalex publication_date 2024/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that there is a duality between the Davey--Stewartson type coupled systems and a class of integrable two--dimensional Toda type lattices. More precisely, the coupled systems are generalized symmetries for the lattices and the lattices can be interpreted as dressing chains for the systems. In our recent study we have found a novel lattice which apparently is not related to the known ones by Miura type transformation. In the article we described higher symmetries to this lattice and derived a new coupled system of the DS type.