23 citations · 56 across the 9 of their papers we have counts for
9 papers
The Cauchy two-matrix model, C-Toda lattice and CKP hierarchy
Chunxia Li, Shi-Hao Li
This paper mainly talks about the Cauchy two-matrix model and its corresponding integrable hi- erarchy with the help of orthogonal polynomials theory and Toda-type equations. Start…
Completion of the integrable coupling systems
Yuqin Yao, Chunxia Li, Shenfeng Shen
In this paper, we proposed an procedure to construct the completion of the integrable system by adding a perturbation to the generalized matrix problem, which can be used to contin…
Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling
Shoufeng Shen, Chunxia Li, Yongyang Jin +1
Integrable couplings are associated with non-semisimple Lie algebras. In this paper, we propose a new method to generate new integrable systems through making perturbation in matri…
A generalized super integrable hierarchy of Dirac type
Yujian Ye, Zhihui Li, Shoufeng Shen +1
In this letter, a new generalized matrix spectral problem of Dirac type associated with the super Lie algebra is proposed and its corresponding super integrable…
Matrix integral solutions to the discrete KP hierarchy and its Pfaffianized version
Stéphane Lafortune, Chun-Xia Li
Matrix integrals used in random matrix theory for the study of eigenvalues of Hermitian ensembles have been shown to provide -functions for several hierarchies of integrable equ…
A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system
Chun-Xia Li, Stéphane Lafortune, Shou-Feng Shen
We establish connections between two cascades of integrable systems generated from the continuum limits of the Hirota-Miwa equation and its remarkable nonlinear counterpart under t…
Quasideterminant solutions to a noncommutative -difference two-dimensional Toda lattice equation
Chun-Xia Li, Jonathan Nimmo, Shou-Feng Shen
In [1], a generalized type of Darboux transformations defined in terms of a twisted derivation was constructed in a unified form. Such twisted derivations include regular derivatio…
Integrable generalizations of the two new soliton hierarchies of AKNS and KN types associated with
Chun-Xia Li, Shou-Feng Shen, Wen-Xiu Ma +1
The two matrix spectral problems of Ablowitz-Kaup-Newell-Segur (AKNS) and Kaup-Newell (KN) types associated with so(3,R) are generalized. The corresponding hierarchies of generaliz…
Two hierarchies of new generalized multicomponent AKNS-type soliton equations
Chun-Xia Li, Shou-Feng Shen, Wen-Xiu Ma +1
Two multicomponent generalizations of the AKNS-type spectral problems associated with and are introduced and the corresponding two hierarchies…