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math.NA2026
A Local Discontinuous Galerkin method for the modified Camassa--Holm equation
Xiang-Ke Chang, Yong Liu, Qi Tao
In this paper, we propose a local discontinuous Galerkin (LDG) method for the modified Camassa-Holm (mCH) equation that contains cubic nonlinearity and high-order derivative terms.…
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…