227 citations · 685 across the 24 of their papers we have counts for
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math.AP2017★ 65 cited
Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
Yan Rybalko, Dmitry Shepelsky
We study the initial value problem for the integrable nonlocal nonlinear Schrödinger (NNLS) equation \[ iq_{t}(x,t)+q_{xx}(x,t)+2σq^{2}(x,t)\bar{q}(-x,t)=0 \] with decaying (as $x\…
math.NA2017★ 27 cited
Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation
A. Vasylchenkova, J. E. Prilepsky, D. Shepelsky +1
Starting from a comparison of some established numerical algorithms for the computation of the eigenvalues (discrete or solitonic spectrum) of the non-Hermitian version of the Zakh…