30 citations · 128 across the 29 of their papers we have counts for
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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…