On the dispersionless Davey-Stewartson hierarchy: the tau function, the Riemann-Hilbert problem and the Hamilton-Jacobi theory
Exactly Solvable and Integrable Systems
2023-03-21 v2
Abstract
The dDS (dispersionless Davey-Stewartson) hierarchy is constructed by two eigenfunctions of a special vector field. This hierarchy consists the infinite symmetries of the dDS system. Further, this paper explores the tau function, the Riemann-Hilbert problem and Hamilton-Jacobi theory related to dDS hierarchy.
Keywords
Cite
@article{arxiv.2206.06589,
title = {On the dispersionless Davey-Stewartson hierarchy: the tau function, the Riemann-Hilbert problem and the Hamilton-Jacobi theory},
author = {Ge Yi and Rong Hu and Kelei Tian and Ying Xu},
journal= {arXiv preprint arXiv:2206.06589},
year = {2023}
}