Xing-Biao Hu

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Person:200547

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zbMath Open hu.xingbiaoMaRDI QIDQ200547

List of research outcomes

PublicationDate of PublicationType
Quasi-periodic waves to the defocusing nonlinear Schrödinger equation2024-02-21Paper
An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem2023-11-27Paper
Preface to the special issue: orthogonal polynomials and integrable systems, peakons, Toda lattices and Painlevé transcendents2023-08-04Paper
Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm2023-01-23Paper
Decoding algorithm as a moment problem related to the extended Lotka–Volterra system2023-01-09Paper
On Laurent biorthogonal polynomials and Painlevé-type equations2022-09-28Paper
Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame2022-01-12Paper
Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via Pfaffians2021-11-22Paper
A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations2021-11-01Paper
Nonsingular rational solutions to integrable models2021-03-19Paper
Isospectral flows related to Frobenius-Stickelberger-Thiele polynomials2020-06-09Paper
Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order2020-01-29Paper
Construction of New Generalizations of Wynn's Epsilon and Rho Algorithm by Solving Finite Difference Equations in the Transformation Order2019-03-25Paper
Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions2018-11-14Paper
On moving frames and Toda lattices of BKP and CKP types2018-10-16Paper
An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type2018-10-10Paper
Degasperis–Procesi peakon dynamical system and finite Toda lattice of CKP type2018-09-10Paper
Moment modification, multipeakons, and nonisospectral generalizations2018-09-06Paper
Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants2018-08-14Paper
Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property2018-07-05Paper
A new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via Pfaffians2018-05-23Paper
A semi-discrete modified KdV equation2018-05-09Paper
A numerical study of the 3-periodic wave solutions to KdV-type equations2018-02-22Paper
A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms2017-11-24Paper
The partition function of the Bures ensemble as theτ-function of BKP and DKP hierarchies: continuous and discrete2017-08-17Paper
An Integrable Coupled Toda Equation And Its Related Equation Via Hirota's Bilinear Approach2017-05-30Paper
Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice2016-07-20Paper
Combinatorial proofs of addition formulas2016-01-25Paper
Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method2015-09-01Paper
Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions2015-08-28Paper
Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms2015-06-22Paper
Hankel Determinant Solutions to Several Discrete Integrable Systems and the Laurent Property2015-05-20Paper
Integrable discretization of soliton equations via bilinear method and Bäcklund transformation2015-03-26Paper
About several classes of bi-orthogonal polynomials and discrete integrable systems2015-01-23Paper
A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions2014-07-31Paper
https://portal.mardi4nfdi.de/entity/Q54134822014-04-30Paper
Integrable discretization of ‘time’ and its application on the Fourier pseudospectral method to the Korteweg–de Vries equation2014-03-28Paper
An extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysis2014-02-03Paper
An integrable semi-discrete equation and combinatorial numbers with their combinatorial interpretations2013-09-03Paper
Convergence acceleration algorithms related to a generalized E-transformation and its particular cases2013-07-11Paper
On the three-dimensional three-wave equation with self-consistent sources2013-06-21Paper
A direct method for evaluating some nice Hankel determinants and proofs of several conjectures2013-02-22Paper
Multistep $𝜖$–algorithm, Shanks’ transformation, and the Lotka–Volterra system by Hirota’s method2012-06-29Paper
Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix2012-06-07Paper
A conjecture based on Somos-4 sequence and its extension2012-05-11Paper
Confluent Form of the Multistep ɛ-Algorithm, and the Relevant Integrable System2011-12-21Paper
Convergence Acceleration Algorithm via an Equation Related to the Lattice Boussinesq Equation2011-12-07Paper
Matrix Integrals and Several Integrable Differential-Difference Systems2011-11-01Paper
A Supersymmetric Ito's Equation and its Soliton Solutions2011-11-01Paper
https://portal.mardi4nfdi.de/entity/Q31693352011-04-28Paper
A hybrid type of soliton equations with self-consistent sources: KP and Toda cases2011-02-09Paper
A generalization of the \(G\)-transformation and the related algorithms2010-11-25Paper
https://portal.mardi4nfdi.de/entity/Q31642572010-10-27Paper
Cross rules of some extrapolation algorithms2010-10-07Paper
Ishimori-I equation with self-consistent sources2010-06-03Paper
Applying the Pfaffianization procedure to the two-dimensional Leznov lattice2010-01-17Paper
Negative semi-discrete KP and BKP hierarchies via nonlocal symmetries2009-11-24Paper
Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation2009-11-17Paper
Commutativity of Pfaffianization and Bäcklund Transformations: The Leznov Lattice2009-08-26Paper
Nonlocal Symmetries for Bilinear Equations and Their Applications2009-08-18Paper
A q-difference version of the ϵ-algorithm2009-03-20Paper
Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice2009-03-20Paper
Construction of q-discrete two-dimensional Toda lattice equation with self-consistent sources2009-02-26Paper
A \((2+1)\)-dimensional sinh-Gordon equation and its Pfaffian generalization2008-09-05Paper
Pfaffianization of the semi-discrete Toda equation2008-05-07Paper
On the pfaffianized-KP equation with self-consistent sources2008-03-05Paper
Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation2007-11-07Paper
On the two-dimensional Leznov lattice equation with self-consistent sources2007-11-07Paper
A difference analogue of the Davey–Stewartson system: discrete Gram-type determinant solution and Lax pair2007-11-07Paper
New type of Kadomtsev–Petviashvili equation with self-consistent sources and its bilinear Bäcklund transformation2007-09-07Paper
Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov2007-09-07Paper
On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization2007-08-20Paper
Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type2007-08-07Paper
On an integrable differential-difference equation with a source2007-04-19Paper
2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair2007-04-13Paper
Integrability of a differential-difference KP equation with self-consistent sources2007-03-15Paper
On a discrete Davey–Stewartson system2007-02-06Paper
Construction of dKP and BKP equations with self-consistent sources2007-02-06Paper
The higher-order KdV equation with a source and nonlinear superposition formula.2006-02-17Paper
Pfaffianization of the q-difference version of the two-dimensional Toda lattice equation2006-02-17Paper
On a special two-dimensional lattice by Blaszak and Szum: pfaffianization and molecule solutions2006-02-17Paper
A pfaffian version of the modified discrete KP equation2005-10-24Paper
Commutativity of Pfaffianization and Bäcklund transformations: the KP equation2005-10-18Paper
Pfaffianization of the discrete three-dimensional three wave interaction equation2005-10-10Paper
On an integrable modified \((2+1)\)-dimensional Lotka-Volterra equation2005-09-28Paper
Bilinearization ofN= 1 supersymmetric Korteweg–de Vries equation revisited2005-09-12Paper
Multi-Component Generalizations of Four Integrable Differential-Difference Equations: Soliton Solutions and Bilinear Bäcklund Transformations2005-04-15Paper
A Special Integrable Differential-Difference Equation and Its Related Systems: Bilinear Forms Soliton Solutions and Lax Pairs2005-03-30Paper
A Bilinear Bäcklund Transformation and Nonlinear Superposition Formula for the Negative Volterra Hierarchy2005-03-30Paper
Pfaffianization of the three-dimensional three-wave equation2005-03-10Paper
An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions2005-03-07Paper
Gramm-type Pfaffian solutions to three differential-difference coupled systems2005-01-04Paper
Remarks on several 2+1 dimensional lattices2004-12-14Paper
Pfaffianization of the Differential-Difference KP Equation2004-11-26Paper
Pfaffianization of the two-dimensional Toda lattice2004-08-20Paper
Variable separation approach for a differential-difference system: special Toda equation2004-06-09Paper
https://portal.mardi4nfdi.de/entity/Q44666802004-06-08Paper
A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.2004-01-26Paper
On multiple soliton solutions of some simple differential-difference equations2003-10-21Paper
Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: A bilinear approach2003-03-10Paper
Two integrable differential-difference equations derived from the discrete BKP equation and their related equations2003-01-07Paper
Non-local symmetries via Darboux transformations2002-12-08Paper
Integrable extended Błaszak-Marciniak lattice and another extended lattice with their Lax pairs2002-06-03Paper
Bäcklund transformations and Lax pairs for two differential-difference equations2002-02-20Paper
Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions2002-01-29Paper
A Bäcklund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy2002-01-01Paper
Some new results on the Błaszak-Marciniak, 3-field and 4-field lattices2001-08-29Paper
Some Recent Results on Integrable Bilinear Equations2001-07-23Paper
New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions2001-06-26Paper
A Differential-Difference Caudrey-Dodd-Gibbon-Kotera-Sawada Equation2001-05-14Paper
Application of bilinear method to integrable differential-difference equations2001-01-01Paper
https://portal.mardi4nfdi.de/entity/Q45184962000-12-01Paper
Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system2000-11-16Paper
https://portal.mardi4nfdi.de/entity/Q45113882000-10-30Paper
Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice2000-08-16Paper
The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited2000-07-26Paper
Two Integrable Coupled Nonlinear Systems2000-07-26Paper
A Bäcklund Transformation and Nonlinear Superposition Formula of the Caudrey-Dodd-Gibbon-Kotera-Sawada Hierarchy2000-07-26Paper
Some New Results on a Highly Nonlinear Differential-Difference Equation2000-07-26Paper
Bilinear Characterization of Higher Order Ito-Equations2000-07-26Paper
An approach to generate superextensions of integrable systems2000-05-08Paper
Bäcklund transformation and Lax pair for an extended integrable differential-difference system2000-04-25Paper
A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations2000-03-08Paper
Soliton solutions to the Jimbo-Miwa equations and the Fordy-Gibbons-Jimbo-Miwa equation2000-03-08Paper
Soliton solutions and symmetries of the \(2+1\) dimensional Kaup-Kupershmidt equation2000-03-08Paper
https://portal.mardi4nfdi.de/entity/Q42501102000-02-16Paper
A new integrable differential-difference system and its explicit solutions2000-02-16Paper
Bäcklund transformation and nonlinear superposition formula of an extended Lotka - Volterra equation1999-12-20Paper
Some new results on the triple-humped soliton equation: Bäcklund transformation, superposition principle and new explicit solutions1999-12-06Paper
A Bäcklund transformation and nonlinear superposition formula for the Belov-Chaltikian lattice1999-11-30Paper
Some new results on the Blaszak–Marciniak lattice: Bäcklund transformation and nonlinear superposition formula1999-11-21Paper
Hirota bilinear approach to a new integrable differential-difference system1999-11-21Paper
Rational solutions of integrable equations via nonlinear superposition formulae1999-10-05Paper
New integrable differential-difference systems1999-06-10Paper
Infinitely many Lax pairs and symmetry constraints of the KP equation1998-11-01Paper
Some new exact solutions of the Novikov - Veselov equation1998-10-27Paper
Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation1997-08-21Paper
A powerful approach to generate new integrable systems1996-06-10Paper
Infinitely many symmetries of the Davey-Stewartson equation1996-01-23Paper
A Bäcklund transformation and nonlinear superposition formula of a modified Korteweg–de Vries-type bilinear equation1995-04-05Paper
A Backlund transformation and nonlinear superposition formula of a higher-order Ito equation1994-12-18Paper
Nonlinear superposition formula of the Novikov-Veselov equation1994-11-01Paper
Nonlinear superposition formulae for the differential-difference analogue of the KdV equation and two-dimensional Toda equation1994-11-01Paper
https://portal.mardi4nfdi.de/entity/Q52878471993-10-28Paper
Generalized Hirota's bilinear equations and their soliton solutions1993-09-02Paper
Nonlinear superposition formula of the Boussinesq hierachy1993-08-17Paper
https://portal.mardi4nfdi.de/entity/Q40253831993-02-18Paper
Nonlinear evolution equations connected with the matrix Schrodinger spectral problem1992-09-27Paper
Nonlinear superposition formula of the KdV equation with a source1992-08-13Paper
https://portal.mardi4nfdi.de/entity/Q39776921992-06-25Paper
Nonlinear superposition formulae of the Ito equation and a model equation for shallow water waves1991-01-01Paper
Some results on the Caudrey-Dodd-Gibbon-Kotera-Sawada equation1991-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33518551990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33567811990-01-01Paper
Rational solutions of the classical Boussinesq hierarchy1990-01-01Paper
Superposition formulae of a fifth order KdV equation and its modified equation1988-01-01Paper
On the symmetries of a multicomponent water wave equation1988-01-01Paper

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