12 citations · 63 across the 29 of their papers we have counts for
4 papers · 1 filter
Classification of integrable boundary equations for integrable quad-graph systems
Pengyu Sun, Cheng Zhang
In the context of integrable systems on quad-graphs, the boundary consistency around a half of a rhombic dodecahedron, as a companion notion to the three-dimensional consistency ar…
Sharp Pointwise Weyl Laws for Schrödinger Operators with Singular Potentials on Flat Tori
Xiaoqi Huang, Cheng Zhang
The Weyl law of the Laplacian on the flat torus is concerning the number of eigenvalues , which is equivalent to counting the lattice points inside the ball…
On an inverse scattering transform for the nonlinear Schödinger equation on the half-line
Cheng Zhang
In this paper, we develop an inverse scattering transform for the integrable focusing nonlinear Schrödinger (NLS) equation on the half-line subject to a class of boundary condition…
Pointwise Weyl Laws for Schrödinger operators with singular potentials
Xiaoqi Huang, Cheng Zhang
We consider the Schrödinger operators with singular potentials on general -dimensional Riemannian manifolds and study whether various forms of pointwise Weyl la…