2 citations · 2 across the 5 of their papers we have counts for
5 papers
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.…
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…
Infinite-peakon solutions of the Camassa-Holm equation
Xiang-Ke Chang, Jonathan Eckhardt, Aleksey Kostenko
We study a class of (conservative) low regularity solutions to the Camassa-Holm equation on the line by exploiting the classical moment problem (in the framework of generalized ind…
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…
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…