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math-ph2020★ 3 cited
Integrable boundary conditions for quad equations, open boundary reductions and integrable mappings
Vincent Caudrelier, Peter H. van der Kamp, Cheng Zhang
In the context of integrable partial difference equations on quad-graphs, we introduce the notion of open boundary reductions as a new means to construct discrete integrable mappin…
math.AP2020
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…
nlin.SI2020
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…