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nlin.SI2019
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…
math.AP2019
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…
nlin.SI2019
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…