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math.AP2022★ 1 cited
Focusing nonlocal nonlinear Schrödinger equation with asymmetric boundary conditions: large-time behavior
Anne Boutet de Monvel, Yan Rybalko, Dmitry Shepelsky
We consider the focusing integrable nonlocal nonlinear Schrödinger equation \[\mathrm{i}q_{t}(x,t)+q_{xx}(x,t)+2q^{2}(x,t)\bar{q}(-x,t)=0\] with asymmetric nonzero boundary conditi…
math-ph2022★ 2 cited
Ballistic transport in periodic and random media
Anne Boutet de Monvel, Mostafa Sabri
We prove ballistic transport of all orders, that is, , for the following models: the adjacency matrix on , the…