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nlin.SI2026
Hankel Determinants from Quadratic Orthogonal Pairs for Hyperelliptic Functions and Their Applications
Xiang-Ke Chang, Jiyuan Liu
As argued by Hone in the paper [Commun. Pure Appl. Math., 74(11):2310--2347, 2021], a ``mismatch" problem remained unsolved while he was investigating continued fraction expansions…
nlin.SI2025
On Isospectral flows related to (dual) cubic strings: Novikov, DP peakons and B, C-Toda lattices
Xiang-Ke Chang
The Degasperis--Procesi (DP) equation can be viewed as an isospectral deformation of the boundary value problem for the so-called cubic string, while the Novikov equation can be fo…
nlin.SI2023★ 2 cited
On the multipeakon system of a two-component Novikov equation
Xiang-Ke Chang, Jacek Szmigielski
We are exploring variations of the Novikov equation that have weak solutions called peakons. Our focus is on a two-component Novikov equation with a non-self-adjoint La…