3 papers
math.AP2026
Global flows for the cubic nonlinear Schrödinger equation without decay assumptions
Shinichi Kotani, Yiqian Wang, Jiahao Xu +1
For each positive integer , we construct global spectral group actions for the defocusing and focusing nonlinear Schrödinger hierarchies on initial-data classes containing $W^{2…
math.SP2026
Toda flow with unbounded initial data
Shinichi Kotani, Jiahao Xu, Shuo Zhang
A Toda flow is constructed starting from a certain class of unbounded initial conditions including sequences growing with power order of less than 1. Unbounded ergodic sequences ar…
math.SP2024
Construction of Toda flow via Sato-Segal-Wilson theory
Shuo Zhang, Shinichi Kotani, Jiahao Xu
A Toda flow is constructed on a space of bounded initial data through Sato-Segal-Wilson theory. The flow is described by the Weyl functions of the underlying Jacobi operators. This…