5 citations · 5 across the 2 of their papers we have counts for
3 papers
math.SP2020
Instability intervals of the Whittaker-Hill operator
Xu-Dan Luo
The Hill operator admits a band gap structure. As a special case, like the Mathieu operator, one has only open gaps, however, the instability intervals of the Whittaker-Hill operat…
nlin.SI2018
Solitons, the Korteweg-de Vries equation with step boundary values and pseudo-embedded eigenvalues
Mark J. Ablowitz, Xu-Dan Luo, Justin T. Cole
The Korteweg-deVries (KdV) equation with step boundary conditions is considered, with an emphasis on soliton dynamics. When one or more initial solitons are of sufficient size they…
math-ph2017★ 5 cited
Inverse scattering transform for the nonlocal reverse space-time Sine-Gordon, Sinh-Gordon and nonlinear Schrödinger equations with nonzero boundary conditions
Mark J. Ablowitz, Bao-Feng Feng, Xu-Dan Luo +1
The reverse space-time (RST) Sine-Gordon, Sinh-Gordon and nonlinear Schrödinger equations were recently introduced and shown to be integrable infinite-dimensional dynamical systems…