Xi Chen

activity

20242026

most citedExplicit formula for the Benjamin--Ono equation with square integrable and real valued initial data and applications to the zero dispersion limit

6 citations · 6 across the 10 of their papers we have counts for

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math.NA2024

Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas

Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault

We construct fully-discrete schemes for the Benjamin-Ono, Calogero-Sutherland DNLS, and cubic Szegő equations on the torus, which are $exact in time$ with $\textit{spectra…

math.AP2024★ 6 cited

Explicit formula for the Benjamin--Ono equation with square integrable and real valued initial data and applications to the zero dispersion limit

Xi Chen

In this paper, we extend G{é}rard's formula for the solution of the Benjamin--Ono equation on the line to square integrable and real valued initial data. Combined with this formula…