44 citations · 196 across the 19 of their papers we have counts for
6 papers · 1 filter
Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions
Xiang-Ke Chang, Yi He, Xing-Biao Hu +1
Skew-orthogonal polynomials (SOPs) arise in the study of the n-point distribution function for orthogonal and symplectic random matrix ensembles. Motivated by the average of charac…
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type
Xiang-Ke Chang, Xing-Biao Hu, Shi-Hao Li
In this paper, we propose a finite Toda lattice of CKP type (C-Toda) together with a Lax pair. Our motivation is based on the fact that the Camassa-Holm (CH) peakon dynamical syste…
An Application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type
Xiang-Ke Chang, Xing-Biao Hu, Shi-Hao Li +1
The Novikov equation is an integrable analogue of the Camassa-Holm equation with a cubic (rather than quadratic) nonlinear term. Both these equations support a special family of we…
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…
Lax integrability and the peakon problem for the modified Camassa-Holm equation
Xiangke Chang, Jacek Szmigielski
Peakons are special weak solutions of a class of nonlinear partial differential equations modelling non-linear phenomena such as the breakdown of regularity and the onset of shocks…