3 citations · 7 across the 5 of their papers we have counts for
9 papers
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…
eigenfunction bounds for fractional Schrödinger operators on manifolds
Xiaoqi Huang, Yannick Sire, Cheng Zhang
This paper is dedicated to bounds on eigenfunctions of a Schödinger-type operator on closed Riemannian manifolds for critically singular potentials . The…
Eigenfunction equations of lattice KdV equations and connections to ABS lattice equations with a term
Cheng Zhang, Haifei Zhang, Da-jun Zhang
We develop lattice eigenfunction equations of lattice KdV equation, which are equations obeyed by the auxiliary functions, or eigenfunctions, of the Lax pair of the lattice KdV equ…
Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded Euclidean domain
Xiaoqi Huang, Yannick Sire, Cheng Zhang
This paper is devoted to interior, i.e. away from the boundary, estimates for eigenfunctions of the fractional Laplacian in an Euclidean domain of .
Vector NLS solitons interacting with a boundary
Cheng Zhang, Da-jun Zhang
We construct multi-soliton solutions of the n-component vector nonlinear Schrödinger equation on the half-line subject to two classes of integrable boundary conditions (BCs): the h…
Dressing the boundary: on soliton solutions of the nonlinear Schrödinger equation on the half-line
Cheng Zhang
Based on the theory of integrable boundary conditions (BCs) developed by Sklyanin, we provide a direct method for computing soliton solutions of the focusing nonlinear Schrödinger…