4 citations · 6 across the 3 of their papers we have counts for
3 papers
nlin.SI2025★ 2 cited
Instability bands for periodic traveling waves in the modified Korteweg-de Vries equation
Shikun Cui, Dmitry E. Pelinovsky
Two families of periodic traveling waves exist in the focusing mKdV (modified Korteweg-de Vries) equation. Spectral stability of these waveforms with respect to co-periodic perturb…
nlin.SI2024
Stability of standing periodic waves in the massive Thirring model
Shikun Cui, Dmitry E. Pelinovsky
We analyze the spectral stability of the standing periodic waves in the massive Thirring model in laboratory coordinates. Since solutions of the linearized MTM equation are related…
math.NA2023★ 4 cited
Numerical inverse scattering transform for the derivative nonlinear Schrodinger equation
Shikun Cui, Zhen Wang
In this paper, we develop the numerical inverse scattering transform (NIST) for solving the derivative nonlinear Schrodinger (DNLS) equation. The key technique involves formulating…