65 citations · 204 across the 13 of their papers we have counts for
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math.AP2019★ 42 cited
Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data
Yan Rybalko, Dmitry Shepelsky
We study the Cauchy problem for the integrable nonlocal focusing nonlinear Schrödinger (NNLS) equation with the step-like in…
math.AP2019★ 52 cited
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…