756 citations
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Showing 2017 · nlin.SIShow all
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nlin.SI2017★ 4 cited
The Ablowitz-Ladik system on a finite set of integers
Baoqiang Xia
We show how to solve initial-boundary value problems for integrable nonlinear differential-difference equations on a finite set of integers. The method we employ is the discrete an…
nlin.SI2017★ 38 cited
Initial-boundary value problems associated with the Ablowitz-Ladik system
Baoqiang Xia, A. S. Fokas
We employ the Ablowitz-Ladik system as an illustrative example in order to demonstrate how to analyze initial-boundary value problems for integrable nonlinear differential-differen…