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1

Nonlinear superposition formulae for the differential-difference analogue of the KdV equation and two-dimensional Toda equation

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

1994

Langue:

english

Fichier:

PDF, 392 KB

english, 1994

2

Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation

Hu, Xing-Biao, Clarkson, P A

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

1995

Langue:

english

Fichier:

PDF, 272 KB

english, 1995

3

A generalization of the G-transformation and the related algorithms

Claude Brezinski, Yi He, Xing-Biao Hu, Jian-Qing Sun

Journal:

Applied Numerical Mathematics

Année:

2010

Langue:

english

Fichier:

PDF, 168 KB

english, 2010

4

Nonlocal Symmetries for Bilinear Equations and Their Applications

Xing-Biao Hu, Sen-Yue Lou, Xian-Min Qian

Journal:

Studies in Applied Mathematics

Année:

2009

Langue:

english

Fichier:

PDF, 173 KB

english, 2009

5

Multipeakons of a two-component modified Camassa–Holm equation and the relation with the finite Kac–van Moerbeke lattice

Chang, Xiang-Ke, Hu, Xing-Biao, Szmigielski, Jacek

Journal:

Advances in Mathematics

Année:

2016

Langue:

english

Fichier:

PDF, 664 KB

english, 2016

6

Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix

Jian-Qing Sun, Xing-Biao Hu, Hon-Wah Tam

Journal:

Numerical Linear Algebra with Applications

Année:

2011

Langue:

english

Fichier:

PDF, 123 KB

english, 2011

7

2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair

Hong-Yan Wang, Xing-Biao Hu, Gegenhasi

Journal:

Journal of Computational and Applied Mathematics

Année:

2007

Langue:

english

Fichier:

PDF, 192 KB

english, 2007

8

A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Bäcklund transformations and Lax pairs

Ryogo Hirota, Xing-Biao Hu, Xiao-Yan Tang

Journal:

Journal of Mathematical Analysis and Applications

Année:

2003

Langue:

english

Fichier:

PDF, 251 KB

english, 2003

9

Pfaffianization of the semi-discrete Toda equation

Chun-Xia Li, Xing-Biao Hu

Journal:

Physics Letters A

Année:

2004

Langue:

english

Fichier:

PDF, 108 KB

english, 2004

10

Application of the Hirota bilinear formalism to a new integrable differential-difference equation

Xing-Biao Hu, Yong-Tang Wu

Journal:

Physics Letters A

Année:

1998

Langue:

english

Fichier:

PDF, 392 KB

english, 1998

11

Soliton solutions and symmetries of the 2+1 dimensional Kaup–Kupershmidt equation

Xing-Biao Hu, Dao-Liu Wang, Xian-Min Qian

Journal:

Physics Letters A

Année:

1999

Langue:

english

Fichier:

PDF, 226 KB

english, 1999

12

Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system

Xing-Biao Hu, Dao-Liu Wang, Hon-Wah Tam

Journal:

Applied Mathematics Letters

Année:

2000

Langue:

english

Fichier:

PDF, 196 KB

english, 2000

13

Convergence Acceleration Algorithm via an Equation Related to the Lattice Boussinesq Equation

He, Yi, Hu, Xing-Biao, Sun, Jian-Qing, Weniger, Ernst Joachim

Journal:

SIAM Journal on Scientific Computing

Année:

2011

Langue:

english

Fichier:

PDF, 182 KB

english, 2011

14

Infinitely many symmetries of the Davey-Stewartson equation

Lou, Sen-Yue, Hu, Xing-Biao

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

1994

Langue:

english

Fichier:

PDF, 236 KB

english, 1994

15

Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

Ma, Wen-Xiu, Hu, Xing-Biao, Zhu, Si-Ming, Wu, Yong-Tang

Journal:

Journal of Mathematical Physics

Année:

1999

Langue:

english

Fichier:

PDF, 448 KB

english, 1999

16

The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited

Tam, Hon-Wah, Ma, Wen-Xiu, Hu, Xing-Biao, Wang, Dao-Liu

Journal:

Journal of the Physical Society of Japan

Année:

2000

Langue:

english

Fichier:

PDF, 1.49 MB

english, 2000

17

Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions

Chen, Xiao-Min, Chang, Xiang-Ke, Sun, Jian-Qing, Hu, Xing-Biao, Yeh, Yeong-Nan

Journal:

Année:

2015

Langue:

english

Fichier:

PDF, 427 KB

english, 2015

18

AIP Conference Proceedings [AIP NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the First International Workshop - Beijing (China) (15–21 July 2009)] - Dark soliton solution of Sasa-Satsuma equation

Ohta, Y., Ma, Wen Xiu, Hu, Xing-biao, Liu, Qingping

Année:

2010

Langue:

english

Fichier:

PDF, 144 KB

english, 2010

19

AIP Conference Proceedings [AIP NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the First International Workshop - Beijing (China) (15–21 July 2009)] - Variational identities and Hamiltonian structures

Ma, Wen-Xiu, Ma, Wen Xiu, Hu, Xing-biao, Liu, Qingping

Année:

2010

Langue:

english

Fichier:

PDF, 248 KB

english, 2010

20

AIP Conference Proceedings [AIP NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the First International Workshop - Beijing (China) (15–21 July 2009)] - Soliton resonance of the NI-BKP equation

Zhang, Yi, Yan, Jiao-Jiao, Ma, Wen Xiu, Hu, Xing-biao, Liu, Qingping

Année:

2010

Langue:

english

Fichier:

PDF, 9.88 MB

english, 2010

21

AIP Conference Proceedings [AIP NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the First International Workshop - Beijing (China) (15–21 July 2009)] - Compatibility equations of the extended KP hierarchy

Ma, Wen-Xiu, Ma, Wen Xiu, Hu, Xing-biao, Liu, Qingping

Année:

2010

Langue:

english

Fichier:

PDF, 161 KB

english, 2010

22

Nonlinear superposition formula of the KdV equation with a source

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

1991

Langue:

english

Fichier:

PDF, 210 KB

english, 1991

23

Non-local symmetries via Darboux transformations

Lou, Sen-Yue, Hu, Xing-Biao

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

1997

Langue:

english

Fichier:

PDF, 291 KB

english, 1997

24

A Differential-Difference Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

Hu, Xing-Biao, Zhu, Zuo-Nong, Wang, Dao-Liu

Journal:

Journal of the Physical Society of Japan

Année:

2000

Langue:

english

Fichier:

PDF, 149 KB

english, 2000

25

Bilinear Characterization of Higher Order Ito-Equations

Springael, Johan, Hu, Xing-Biao, Loris, Ignace

Journal:

Journal of the Physical Society of Japan

Année:

1996

Fichier:

PDF, 605 KB

1996

26

A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms

HE, YI, HU, XING-BIAO, TAM, HON-WAH, ZHANG, YING-NAN

Journal:

European Journal of Applied Mathematics

Année:

2016

Langue:

english

Fichier:

PDF, 174 KB

english, 2016

27

A Bilinear Bäcklund Transformation and Nonlinear Superposition Formula for the Negative Volterra Hierarchy

Hu, Xing-Biao, Xue, Wei-Min

Journal:

Journal of the Physical Society of Japan

Année:

2003

Langue:

english

Fichier:

PDF, 142 KB

english, 2003

28

Multi-Component Generalizations of Four Integrable Differential-Difference Equations: Soliton Solutions and Bilinear Bäcklund Transformations

Zhao, Jun-Xiao, Hu, Xing-Biao, Hirota, Ryogo

Journal:

Journal of the Physical Society of Japan

Année:

2004

Langue:

english

Fichier:

PDF, 208 KB

english, 2004

29

On moving frames and Toda lattices of BKP and CKP types

Wang, Bao, Chang, Xiang-Ke, Hu, Xing-Biao, Li, Shi-hao

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2018

Langue:

english

Fichier:

PDF, 695 KB

english, 2018

30

An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type

Chang, Xiang-Ke, Hu, Xing-Biao, Li, Shi-Hao, Zhao, Jun-Xiao

Journal:

Advances in Mathematics

Année:

2018

Langue:

english

Fichier:

PDF, 598 KB

english, 2018

31

Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions

Chang, Xiang-Ke, He, Yi, Hu, Xing-Biao, Li, Shi-Hao

Journal:

Communications in Mathematical Physics

Année:

2018

Langue:

english

Fichier:

PDF, 768 KB

english, 2018

32

The higher-order KdV equation with a source and nonlinear superposition formula

Journal:

Chaos, Solitons & Fractals

Année:

1996

Langue:

english

Fichier:

PDF, 266 KB

english, 1996

33

Pfaffianization of the two-dimensional Toda lattice

Xing-Biao Hu, Jun-Xiao Zhao, Hon-Wah Tam

Journal:

Journal of Mathematical Analysis and Applications

Année:

2004

Langue:

english

Fichier:

PDF, 162 KB

english, 2004

34

On an integrable modified -dimensional Lotka–Volterra equation

Chun-Xia Li, Jonathan J.C. Nimmo, Xing-Biao Hu, Gegenhasi

Journal:

Journal of Mathematical Analysis and Applications

Année:

2005

Langue:

english

Fichier:

PDF, 140 KB

english, 2005

35

A pfaffian version of the modified discrete KP equation

Gegenhasi, Xing-Biao Hu, Hon-Wah Tam

Journal:

Journal of Mathematical Analysis and Applications

Année:

2005

Langue:

english

Fichier:

PDF, 113 KB

english, 2005

36

On the integrable discrete versions of the Leznov lattice: Determinant solutions and pfaffianization

Guo-Fu Yu, Hon-Wah Tam, Xing-Biao Hu

Journal:

Journal of Mathematical Analysis and Applications

Année:

2007

Langue:

english

Fichier:

PDF, 146 KB

english, 2007

37

A hybrid type of soliton equations with self-consistent sources: KP and Toda cases

Hong-Yan Wang, Xing-Biao Hu

Journal:

Journal of Mathematical Analysis and Applications

Année:

2011

Langue:

english

Fichier:

PDF, 207 KB

english, 2011

38

Pfaffianization of the discrete three-dimensional three wave interaction equation

Gegenhasi, Jun-Xiao Zhao, Xing-Biao Hu, Hon-Wah Tam

Journal:

Linear Algebra and its Applications

Année:

2005

Langue:

english

Fichier:

PDF, 357 KB

english, 2005

39

Integrability of a differential-difference KP equation with self-consistent sources

Gegenhasi, Xing-Biao Hu

Journal:

Mathematics and Computers in Simulation

Année:

2007

Langue:

english

Fichier:

PDF, 814 KB

english, 2007

40

Extended Gram-type determinant solutions to the Kadomtsev–Petviashvili equation

Guo-Fu Yu, Xing-Biao Hu

Journal:

Mathematics and Computers in Simulation

Année:

2009

Langue:

english

Fichier:

PDF, 140 KB

english, 2009

41

A ()-dimensional sinh-Gordon equation and its Pfaffian generalization

Gegenhasi, Xing-Biao Hu, Hong-Yan Wang

Journal:

Physics Letters A

Année:

2007

Langue:

english

Fichier:

PDF, 178 KB

english, 2007

42

Two integrable differential-difference equations derived from the discrete BKP equation and their related equations

Claire R. Gilson, Xing-Biao Hu, Wen-Xiu Ma, Hon-Wah Tam

Journal:

Physica D: Nonlinear Phenomena

Année:

2003

Langue:

english

Fichier:

PDF, 94 KB

english, 2003

43

Two integrable differential-difference equations exhibiting soliton solutions of the Kaup–Kupershmidt equation type

Hon-Wah Tam, Xing-Biao Hu

Journal:

Physics Letters A

Année:

2000

Langue:

english

Fichier:

PDF, 80 KB

english, 2000

44

Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov

Xing-Biao Hu, Hon-Wah Tam

Journal:

Physics Letters A

Année:

2000

Langue:

english

Fichier:

PDF, 76 KB

english, 2000

45

Soliton solutions to the Jimbo–Miwa equations and the Fordy–Gibbons–Jimbo–Miwa equation

Xing-Biao Hu, Dao-Liu Wang, Hon-Wah Tam, Wei-Min Xue

Journal:

Physics Letters A

Année:

1999

Langue:

english

Fichier:

PDF, 1.24 MB

english, 1999

46

Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: a bilinear approach

Hon-Wah Tam, Xing-Biao Hu

Journal:

Applied Mathematics Letters

Année:

2002

Langue:

english

Fichier:

PDF, 383 KB

english, 2002

47

On the pfaffianized-KP equation with self-consistent sources

Hong-Yan Wang, Xing-Biao Hu, Hon-Wah Tam

Journal:

Journal of Mathematical Analysis and Applications

Année:

2008

Langue:

english

Fichier:

PDF, 147 KB

english, 2008

48

Application of Hirota's bilinear formalism to the Toeplitz lattice—some special soliton-like solutions

Xing-Biao Hu, Wen-Xiu Ma

Journal:

Physics Letters A

Année:

2002

Langue:

english

Fichier:

PDF, 51 KB

english, 2002

49

A conjecture based on Somos-4 sequence and its extension

Xiang-Ke Chang, Xing-Biao Hu

Journal:

Linear Algebra and its Applications

Année:

2012

Langue:

english

Fichier:

PDF, 286 KB

english, 2012

50

New type of Kadomtsev–Petviashvili equation with self-consistent sources and its bilinear Bäcklund transformation

Hu, Xing-Biao, Wang, Hong-Yan

Journal:

Inverse Problems

Année:

2007

Langue:

english

Fichier:

PDF, 238 KB

english, 2007