1 citations · 1 across the 1 of their papers we have counts for
3 papers
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.AP2020
Defocusing nonlocal nonlinear Schrödinger equation with step-like boundary conditions: long-time behavior for shifted initial data
Yan Rybalko, Dmitry Shepelsky
The present paper deals with the long-time asymptotic analysis of the initial value problem for the integrable defocusing nonlocal nonlinear Schrödinger equation $ iq_{t}(x,t)+q_{x…
math.AP2019
Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation with step-like initial data
Yan Rybalko, Dmitry Shepelsky
We study the Cauchy problem for the integrable nonlocal nonlinear Schrödinger (NNLS) equation \[ iq_{t}(x,t)+q_{xx}(x,t)+2 q^{2}(x,t)\bar{q}(-x,t)=0 \] with a step-like initial dat…