8 citations · 12 across the 4 of their papers we have counts for
5 papers
Two-parameter generalisations of Cauchy bi-orthogonal polynomials and integrable lattices
Xiang-Ke Chang, Shi-Hao Li, Satoshi Tsujimoto +1
In this article, we consider the generalised two-parameter Cauchy two-matrix model and corresponding integrable lattice equation. It is shown that with parameters chosen as …
Isospectral flows related to Frobenius-Stickelberger-Thiele polynomials
Xiang-Ke Chang, Xing-Biao Hu, Jacek Szmigielski +1
The isospectral deformations of the Frobenius-Stickelberger-Thiele (FST) polynomials introduced in [32](Spiridonov et al. Commun. Math. Phys. 272:139--165, 2007 ) are studied. For…
Vibrations of an elastic bar, isospectral deformations, and modified Camassa-Holm equations
Xiang-Ke Chang, Jacek Szmigielski
Vibrations of an elastic rod are described by a Sturm-Liouville system. We present a general discussion of isospectral (spectrum preserving) deformations of such a system. We inter…
The dynamics of conservative peakons in the NLS hierarchy
Stephen C. Anco, Xiangke Chang, Jacek Szmigielski
Using the tri-hamiltonian splitting method, the authors of [Anco and Mobasheramini, Physica D, 355:1--23, 2017] derived two -invariant nonlinear PDEs that arise from the hier…
Liouville integrability of conservative peakons for a modified CH equation
Xiang-Ke Chang, Jacek Szmigielski
The modified Camassa-Holm equation (also called FORQ) is one of numerous of the Camassa-Holm equation possessing non-smoth solitons () as special solutions. The…