4 papers
On the nonlinear Schrödinger equation with a time-dependent boundary condition
Baoqiang Xia
We study the nonlinear Schrödinger equation on the half-line with a boundary condition that involves time derivative. This boundary condition was presented by Zambon [J. High Energ…
Time-dependent defects in integrable soliton equations
Baoqiang Xia, Ruguang Zhou
We study -dimensional integrable soliton equations with time-dependent defects located at , where is a function of class . We define the defect condition…
Evolution equations on time-dependent intervals
Athanasios S. Fokas, Beatrice Pelloni, Baoqiang Xia
We study initial boundary value problems for linear evolution partial differential equations (PDEs) posed on a time-dependent interval , , where an…
The Ablowitz-Ladik system on a graph
Baoqiang Xia
This paper presents an approach to study initial-boundary value (IBV) problems for integrable nonlinear differential-difference equations (DDEs) posed on a graph. As an illustrativ…