可积系统的代数与几何结构

11331008
2013
A0308.可积系统及其应用
耿献国
重点项目
教授
郑州大学
240万元
可积系统;几何结构;代数结构
2014-01-01到2018-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
查看更多信息请先登录或注册
查看更多信息请先登录或注册
查看更多信息请先登录或注册
重置
序号 标题 类型 作者
1 Riemann-Hilbert approach for the combined nonlinear Schrödinger and Gerdjikov-Ivanov equation and its N-soliton solutions 期刊论文 Hui Nie;Liping Lu;Xianguo Geng
2 Hamiltonian strutues of a coupled Ramani equation 期刊论文 Nianhua Li;Binfang Gao
3 Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions 期刊论文 Xiaomin Chen;Xiangke Chang;Jianqing Sun;Xingbiao Hu;Yeongnan Yeh
4 Three-component generalisation of Burgers equation and its bi-Hamiltonian structures 期刊论文 Wei Liu;Xianguo Geng;Bo Xue
5 The vector derivative nonlinear Schrödinger equation on the half-line 期刊论文 Huan Liu;Xianguo Geng
6 A semi-discrete modified KdV equation 期刊论文 Jianqing Sun;Xingbiao Hu;Yingnan Zhang
7 Conservation laws of the generalized Riemann equations 期刊论文 Binfang Gao;Kai Tian;Qingping Liu;Lujuan Feng
8 The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices 期刊论文 Jiao Wei;Xianguo Geng;Xin Zeng
9 Integrable discretization of soliton equations via bilinear method and Backlund transformation 期刊论文 Yingnan Zhang;Xiangke Chang;Juan Hu;Xingbiao Hu;Honwah Tam
10 The application of trigonal curve to the Mikhailov-Shabat-Sokolov flows 期刊论文 Guoliang He;Xianguo Geng;Lihua Wu
11 A hierarchy of generalized Jaulent-Miodek equations and their explicit solutions 期刊论文 Xianguo Geng;Liang Guan;Bo Xue
12 K(m,n) equations with fifth order symmetries and their integrability 期刊论文 Kai Tian
13 Exact quasi-periodic solutions of the Konno-Oono equations 期刊论文 Liang Guan;Xianguo Geng;Zhu Li
14 Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method 期刊论文 Huan Liu;Xianguo Geng
15 Trace formula and new form of N-soliton to the Gerdjikov-Ivanov equation 期刊论文 Hui Nie;Junyi Zhu;Xianguo Geng
16 Backlund-Darboux Transformations and Discretizations of Super KdV Equation 期刊论文 Lingling Xue;Q. P. Liu
17 A Darboux transformation for Ito’s equation 期刊论文 Xiaoxing Niu;Mengxia Zhang;Shuqiang Lv
18 A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures 期刊论文 Jiao Wei;Xianguo Geng
19 Supersymmetric Sawada-Kotera equation: Bäcklund-Darboux transformations and applications 期刊论文 Hui Mao;Qingping Liu;Lingling Xue
20 Algebro-geometric constructions of quasi periodic flows of the Newell hierarchy and applications 期刊论文 Xianguo Geng;Hui Wang
21 A Supersymmetric AKNS Problem and Its Darboux-Backlund Transformations and Discrete Systems 期刊论文 Lingling Xue;Q. P. Liu
22 Conservation laws and symmetries of Hunter-Saxton equation: revisited 期刊论文 Kai Tian;Qingping Liu
23 An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type 期刊论文 Xiangke Chang;Xingbiao Hu;Shihao Li;Junxiao Zhao
24 A numerical study of the 3-periodic wave solutions to KdV-type equations 期刊论文 Yingnan Zhang;Xingbiao Hu;Jianqing Sun
25 A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions 期刊论文 Lingling Xue;Qingping Liu;Dengshan Wang
26 Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method 期刊论文 Y. Zhang;X.B. Hu;H.W. Tam
27 Initial-boundary value problems for the coupled nonlinear Schrodinger equation on the half-line 期刊论文 Xianguo Geng;Huan Liu;Junyi Zhu
28 Darboux transformation for Drinfeld-Sokolov- Wilson equation 期刊论文 Xiaoxing Niu;Qingping Liu
29 A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure 期刊论文 Xianguo Geng;Ruomeng Li;Bo Xue
30 Riemann-Hilbert approach and N-soliton solutions for a generalized Sasa-Satsuma equation 期刊论文 Xianguo Geng;Jianping Wu
31 Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions 期刊论文 Xiangke Chang;Yi He;Xingbiao Hu;Shihao Li
32 Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants 期刊论文 Xiaomin Chen;Xingbiao Hu;Folkert Müller-Hoissen
33 Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications 期刊论文 Zhu Li;Xianguo Geng;Liang Guan
34 Algebro-geometric solution to the Bullough-Dodd-Zhiber-Shabat equation 期刊论文 Lihua Wu;Xianguo Geng;Jinshun Zhang
35 A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures 期刊论文 Jiao Wei;Xianguo Geng
36 Riemann surface and Riemann theta function solutions of the discrete integrable hierarchy 期刊论文 Xianguo Geng;Xin Zeng;Jiao Wei
37 The partition function of the Bures ensembles as the τ-function of BKP and DKP hierarchies: continuous and discrete 期刊论文 Xingbiao Hu;Shihao Li
38 A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions 期刊论文 Xiangke Chang;Xiaomin Chen;Xingbiao Hu
39 A vector generalization of Volterra type differential-difference equations 期刊论文 Jiao Wei;Xianguo Geng
40 可积系统与数值算法 专著 孙建青;何益;胡星标;常向科
41 Periodic and rational solutions of the reduced Maxwell-Bloch equations 期刊论文 Jiao Wei;Xin Wang;Xianguo Geng
42 Explicit quasi-periodic solutions of the Kaup-Newell hierarchy 期刊论文 Xianguo Geng;Zhu Li;Bo Xue;Liang Guan
43 A novel hierarchy of differential-integral equations and their generalized bi-Hamiltonian structures 期刊论文 Yunyun Zhai;Xianguo Geng;Guoliang He
44 Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy 期刊论文 Xianguo Geng;Yunyun Zhai;Huihui Dai
45 A new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via Pfaffians 期刊论文 Xiangke Chang;Yi He;Xingbiao Hu;Shihao Li
46 The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation 期刊论文 Xianguo Geng;Huan Liu
47 On moving frames and Toda lattices of BKP and CKP type 期刊论文 Bao Wang;Xiangke Chang;Xingbiao Hu;Shihao Li
48 N-soliton solutions for a derivative nonlinear Schrödinger-type equation via Riemann-Hilbert approach 期刊论文 Xianguo Geng;Hui Nie
49 Explicit quasi-periodic solutions of the Vakhnenko equation 期刊论文 Yunyun Zhai;Xianguo Geng;Guoliang He
50 Hankel determinant solutions to several discrete integrable systems and the laurent property 期刊论文 Xiangke Chang;Xingbiao Hu;Guoce Xin
51 An extension of integrable equations related to the Ablowitz-Kaup-Newell-Segur and Wadati-Konno-Ichikawa spectral problems and their reductions 期刊论文 Xianguo Geng;Yunyun Zhai
52 Algebro-geometric solutions of the Dirac hierarchy 期刊论文 Xiao Yang;Jiayan Han
53 Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文 Xiangke Chang;Xingbiao Hu;Shihao Li
54 Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy 期刊论文 Xianguo Geng;Xin Zeng
55 Quasiperiodic solutions of the discrete Chen-Lee-Liu hierarchy 期刊论文 Xin Zeng;Xianguo Geng
56 The trigonal curve and the integration of the Hirota-Satsuma hierarchy 期刊论文 Guoling He;Xianguo Geng;Lihua Wu
57 Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property 期刊论文 Xiangke Chang;Yi He;Xingbiao Hu;Shihao Li;Hon-wah Tam;Yingnan Zhang
58 Explicit solutions for a hierarchy of differential-difference equations 期刊论文 Dong Gong;Xianguo Geng
59 N-soliton solution and soliton resonances for the (2+1)-dimensional inhomogeneous Gardner equation 期刊论文 Xin Wang;Xianguo Geng
60 New hierarchy of integrable nonlinear differential-difference equations 期刊论文 Xianguo Geng;Liang Guan;Bo Xue
61 Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions 期刊论文 Xianguo Geng;Ruomeng Li
62 Application of trigonal curve to the Blaszak-Marciniak lattice hierarchy 期刊论文 Xianguo Geng;Xin Zeng
63 On Type-II Backlund transformation for the MKdV hierarchy 期刊论文 Hui Mao;Shuqiang Lv
64 Finite-band solutions for the hierarchy of coupled Toda lattices 期刊论文 Xin Zeng;Xianguo Geng
65 A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms 期刊论文 Yi He;Xingbiao Hu;Honwah Tam;Yingnan Zhang
66 A coupled nonlinear Schrödinger-type equation and its Darboux transformation 期刊论文 Xianguo Geng;Jiao Wei;Bo Xue
67 Moment modification, multipeakons, and nonisospectral generalizations 期刊论文 Xiangke Chang;Xingbiao Hu;Shihao Li
68 Bäcklund-Darboux transformations and discretizations of N=2 a=-2 supersymmetric KdV equation 期刊论文 Hui Mao;Qingpng Liu
69 A new spectral problem and the related integrable nonlinear evolution equations 期刊论文 Xiao Yang;Dianlou Du
70 Some generalized coupled nonlinear Schrödinger equations and conservation laws 期刊论文 Wei Liu;Xianguo Geng;Bo Xue
71 An integrable extension of TD hierarchy and generalized bi-Hamiltonian structures 期刊论文 Huan Liu;Xianguo Geng
72 A four-component Camassa-Holm type hierarchy 期刊论文 Nianhua Li;Q. P. Liu;Z Popowicz
73 Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach 期刊论文 Jianping Wu;Xianguo Geng
74 Algebro-geometric solutions to the Manakov hierarchy 期刊论文 Lihua Wu;Xianguo Geng;Guoliang He
75 A new nonlinear wave equation: Darboux transformation and soliton solutions 期刊论文 Xianguo Geng;Jing Shen;Xue Bo
76 Symbolic representation and classification of N=1 supersymmetric evolutionary equations 期刊论文 Kai Tian;Jingping Wang
77 The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation 期刊论文 Huan Liu;Xianguo Geng;Bo Xue
78 Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy 期刊论文 Guoliang He;Xianguo Geng;Lihua Wu
79 An extension of the coupled derivative nonlinear Schrödinger hierarchy 期刊论文 Siqi Xu;Xianguo Geng;Bo Xue
80 The higher-order soliton solutions for the coupled Sasa-Satsuma system via the (partial derivative) over-bar-dressing method 期刊论文 Yonghui Kuang;Junyi Zhu
81 可积系统的代数几何结构 奖励 耿献国;薛波;何国亮
82 Quasi-periodic solutions to the hierarchy of four-component Toda lattices 期刊论文 Jiao Wei;Xianguo Geng;Xin Zeng
83 Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation 期刊论文 Jianping Wu;Xianguo Geng
84 N-soliton solutions for the nonlocal two-wave interaction system via the Riemann–Hilbert method 期刊论文 Siqi Xu;Xianguo Geng
85 Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice 期刊论文 Xiangke Chang;Xingbiao Hu;Jacek Szmigielski
86 The coupled Sasa–Satsuma hierarchy: Trigonal curve and finite genus solutions 期刊论文 Yunyun Zhai;Xianguo Geng
87 Algebro-geometricconstructions of quasi- periodic flows of the discrete self-dual network hierarchy and applications 期刊论文 Dong Gong;Xianguo Geng
88 A hierarchy of new nonlinear evolution equations and their bi-Hamiltonian structures 期刊论文 Xianguo Geng;Hui Wang
89 Algebro-geometricsolutions to a new hierarchy of soliton equations 期刊论文 Hui Wang;Xianguo Geng
90 Quasi-periodic Solutions to the K(-2,-2) Hierarchy 期刊论文 Lihua Wu;Xianguo Geng
91 A reciprocal transformation for the Geng-Xue equation 期刊论文 Nianhua Li;Xiaoxing Niu
92 Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文 Xiangke Chang;Xingbiao Hu;Shihao Li
查看更多信息请先登录或注册