Xing-biao Hu
Chinese Academy of Sciences, China
Personal Home Page
http://www.cc.ac.cn/staff/hxb.html
Articles in Scholarly Journals [Incomplete List]
- On the pfaffianized-KP equation with self-consistent sources
Journal of Mathematical Analysis and Applications, vol. 338, no. 1, pp. 82–90, 2008 - On the integrable discrete versions of the Leznov lattice: Determinant solutions and pfaffianization?
Journal of Mathematical Analysis and Applications, vol. 335, no. 1, pp. 377–388, 2007 - Integrability of a differential-difference KP equation with self-consistent sources
Mathematics and Computers in Simulation, vol. 74, no. 2-3, pp. 145–158, 2007 - 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair
Journal of Computational and Applied Mathematics, vol. 202, no. 1, pp. 133–143, 2007 - A (2+12+1)-dimensional sinh-Gordon equation and its Pfaffian generalization
Physics Letters A, vol. 360, no. 3, pp. 439–447, 2007 - New type of Kadomtsev–Petviashvili equation with self-consistent sources and its bilinear Bäcklund transformation
Inverse Problems, vol. 23, no. 4, pp. 1433–1444, 2007 - Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation
Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 42, pp. 12645–12659, 2007 - On the two-dimensional Leznov lattice equation with self-consistent sources
Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 42, pp. 12691–12700, 2007 - A difference analogue of the Davey–Stewartson system: discrete Gram-type determinant solution and Lax pair
Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 42, pp. 12741–12751, 2007 -
A (2 + 1)-Dimensional Sasa–Satsuma Equation with Self-Consistent Sources
Journal of the Physical Society of Japan, vol. 76, no. 2, p. 024007, 2007 - Construction of q-discrete two-dimensional Toda lattice equation with self-consistent sources
Journal of Non-linear Mathematical Physics, vol. 14, no. 2, Article ID 1141, 2007 -
A Supersymmetric Ito's Equation and its Soliton Solutions
Journal of the Physics Society Japan, vol. 75, no. 6, p. 064004, 2006 - On an integrable differential-difference equation with a source
Journal of Non-linear Mathematical Physics, vol. 13, no. 2, Article ID 383, 2006 - Construction of dKP and BKP equations with self-consistent sources
Inverse Problems, vol. 22, no. 5, pp. 1903–1920, 2006 -
Matrix Integrals and Several Integrable Differential-Difference Systems
Journal of the Physics Society Japan, vol. 75, no. 5, p. 054003, 2006 - On a discrete Davey–Stewartson system
Inverse Problems, vol. 22, no. 5, pp. 1677–1688, 2006 - Commutativity of Pfaffianization and Bäcklund transformations: the KP equation
Inverse Problems, vol. 21, no. 4, pp. 1461–1472, 2005 - Pfaffianization of the discrete three-dimensional three wave interaction equation
Linear Algebra and its Applications, vol. 407, pp. 277–295, 2005 - On an integrable modified -dimensional Lotka–Volterra equation
Journal of Mathematical Analysis and Applications, vol. 309, no. 2, pp. 686–700, 2005 - A pfaffian version of the modified discrete KP equation
Journal of Mathematical Analysis and Applications, vol. 311, no. 2, pp. 518–529, 2005 - Bilinearization of N = 1 supersymmetric Korteweg–de Vries equation revisited
Journal of Physics A: Mathematical and General, vol. 38, no. 28, pp. 6371–6378, 2005 - Pfaffianization of the three-dimensional three-wave equation
Journal of Physics A: Mathematical and General, vol. 38, no. 5, pp. 1113–1118, 2005 - Supersymmetric modified Korteweg–de Vries equation: bilinear approach
Nonlinearity, vol. 18, no. 4, pp. 1597–1603, 2005 - Applying the Pfaffianization Procedure to the Two-Dimensional Leznov Lattice
Theoretical and Mathematical Physics, vol. 144, no. 3, pp. 1288–1295, 2005 - On a special two-dimensional lattice by Blaszak and Szum: pfaffianization and molecule solutions
Journal of Non-linear Mathematical Physics, vol. 12, no. Supplement 2, Article ID 416, 2005 - Pfaffianization of the q-difference version of the two-dimensional Toda lattice equation
Journal of Non-linear Mathematical Physics, vol. 12, no. Supplement 2, Article ID 415, 2005 -
Pfaffianization of the Differential-Difference KP Equation
Journal of the Physics Society Japan, vol. 73, no. 5, pp. 1159–1163, 2004 - Variable separation approach for a differential-difference system: special Toda equation
Journal of Physics A: Mathematical and General, vol. 37, no. 6, pp. 2401–2411, 2004 - An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions
Journal of Physics A: Mathematical and General, vol. 38, no. 1, pp. 195–204, 2004 -
Multi-Component Generalizations of Four Integrable Differential-Difference Equations: Soliton Solutions and Bilinear Bäcklund Transformations
Journal of the Physics Society Japan, vol. 73, no. 12, pp. 3275–3284, 2004 - Pfaffianization of the two-dimensional Toda lattice
Journal of Mathematical Analysis and Applications, vol. 296, no. 1, pp. 256–261, 2004 - Gramm-type Pfaffian solutions to three differential-difference coupled systems
Inverse Problems, vol. 20, no. 4, pp. 1293–1306, 2004 - Pfaffianization of the semi-discrete Toda equation
Physics Letters A, vol. 329, no. 3, pp. 193–198, 2004 - Two integrable differential-difference equations derived from the discrete BKP equation and their related equations
Physica D: Nonlinear Phenomena, vol. 175, no. 3-4, pp. 177–184, 2003 - A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Bäcklund transformations and Lax pairs
Journal of Mathematical Analysis and Applications, vol. 288, no. 1, pp. 326–348, 2003 -
A Bilinear Bäcklund Transformation and Nonlinear Superposition Formula for the Negative Volterra Hierarchy
Journal of the Physics Society Japan, vol. 72, no. 12, pp. 3075–3078, 2003 -
Homoclinic Orbits for the Coupled Schrödinger-Boussinesq Equation and Coupled Higgs Equation
Journal of the Physics Society Japan, vol. 72, no. 1, pp. 189–190, 2003 -
A Special Integrable Differential-Difference Equation and Its Related Systems: Bilinear Forms Soliton Solutions and Lax Pairs
Journal of the Physics Society Japan, vol. 72, no. 2, pp. 265–272, 2003 - An Integrable Coupled Toda Equation And Its Related Equation Via Hirota's Bilinear Approach
Journal of Non-linear Mathematical Physics, vol. 10, no. Supplement 2, Article ID 618, 2003 - Rational Solutions of an Extended Lotka-Volterra Equation
Journal of Non-linear Mathematical Physics, vol. 9, no. Supplement 1, Article ID 711, 2002 - On multiple soliton solutions of some simple differential-difference equations
Inverse Problems, vol. 18, no. 6, pp. 1499–1508, 2002 - Application of Hirota's bilinear formalism to the Toeplitz lattice—some special soliton-like solutions
Physics Letters A, vol. 293, no. 3-4, pp. 161–165, 2002 - Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: a bilinear approach1
Applied Mathematics Letters, vol. 15, no. 8, pp. 987–993, 2002 - Remarks on several 2+1 dimensional lattices
Journal of Mathematical Physics, vol. 43, no. 2, p. 1008, 2002 - Theoretical and Mathematical Physics, vol. 127, no. 3, pp. 738–743, 2001
- Application of bilinear method to integrable differential-difference equations
Glasgow Mathematical Journal, vol. 43, no. A, pp. 43–51, 2001 - Inverse Problems, vol. 17, no. 2, pp. 319–327, 2001
- Some Recent Results on Integrable Bilinear Equations
Journal of Non-linear Mathematical Physics, vol. 8, no. Supplement, Article ID 789, 2001 - Journal of Physics A: Mathematical and General, vol. 34, no. 48, pp. 10577–10584, 2001
-
A Differential-Difference
Caudrey-Dodd-Gibbon-Kotera-Sawada
Equation
Journal of the Physics Society Japan, vol. 69, no. 4, pp. 1042–1049, 2000 -
The Hirota-Satsuma Coupled KdV Equation
and a Coupled Ito System Revisited
Journal of the Physics Society Japan, vol. 69, no. 1, pp. 45–52, 2000 - Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system
Applied Mathematics Letters, vol. 13, no. 6, pp. 45–48, 2000 - Two integrable differential-difference equations exhibiting soliton solutions of the Kaup–Kupershmidt equation type
Physics Letters A, vol. 272, no. 3, pp. 174–183, 2000 - Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
Physics Letters A, vol. 276, no. 1-4, pp. 65–72, 2000 - Some new results on the Blaszak-Marciniak 3-field and 4-field lattices
Reports on Mathematical Physics, vol. 46, no. 1-2, pp. 99–105, 2000 - Soliton solutions to the Jimbo–Miwa equations and the Fordy–Gibbons–Jimbo–Miwa equation
Physics Letters A, vol. 262, no. 4-5, pp. 310–320, 1999 - Soliton solutions and symmetries of the 2+1 dimensional Kaup–Kupershmidt equation
Physics Letters A, vol. 262, no. 6, pp. 409–415, 1999 - A generalized Hirota–Satsuma coupled Korteweg–de Vries equation and Miura transformations
Physics Letters A, vol. 255, no. 4-6, pp. 259–264, 1999 - Hirota bilinear approach to a new integrable differential-difference system
Journal of Mathematical Physics, vol. 40, no. 4, p. 2001, 1999 - Erratum: “Hirota bilinear approach to a new integrable differential-difference system” [J. Math. Phys. 40, 2001 (1999)]
Journal of Mathematical Physics, vol. 40, no. 8, p. 4180, 1999 - Ba¨cklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice
Journal of Mathematical Physics, vol. 40, no. 11, p. 6071, 1999 - Journal of Physics A: Mathematical and General, vol. 30, no. 23, pp. 8225–8240, 1999
- Journal of Physics A: Mathematical and General, vol. 30, no. 5, pp. L95–L100, 1999
- Journal of Physics A: Mathematical and General, vol. 31, no. 20, pp. 4755–4761, 1999
- Journal of Physics A: Mathematical and General, vol. 30, no. 2, pp. 619–632, 1999
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Two Integrable Coupled Nonlinear Systems
Journal of the Physics Society Japan, vol. 68, no. 2, pp. 369–379, 1999 - Journal of Physics A: Mathematical and General, vol. 32, no. 45, pp. 7901–7906, 1999
- Journal of Physics A: Mathematical and General, vol. 32, no. 8, pp. 1515–1521, 1999
- Journal of Physics A: Mathematical and General, vol. 29, no. 15, pp. 4589–4592, 1999
- Journal of Physics A: Mathematical and General, vol. 30, no. 10, pp. 3635–3641, 1999
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Some New Results on a Highly Nonlinear Differential-Difference Equation
Journal of the Physics Society Japan, vol. 67, no. 10, pp. 3645–3646, 1998 -
A Bäcklund Transformation and Nonlinear Superposition
Formula of the Caudrey-Dodd-Gibbon-Kotera-Sawada Hierarchy
Journal of the Physics Society Japan, vol. 67, no. 3, pp. 772–777, 1998 - Journal of Physics A: Mathematical and General, vol. 31, no. 44, pp. 8859–8868, 1998
- Journal of Physics A: Mathematical and General, vol. 31, no. 5, pp. 1405–1414, 1998
- Some new results on the Blaszak–Marciniak lattice: Ba¨cklund transformation and nonlinear superposition formula
Journal of Mathematical Physics, vol. 39, no. 9, p. 4766, 1998 - Application of the Hirota bilinear formalism to a new integrable differential-difference equation
Physics Letters A, vol. 246, no. 6, pp. 523–529, 1998 - Infinitely many Lax pairs and symmetry constraints of the KP equation
Journal of Mathematical Physics, vol. 38, no. 12, p. 6401, 1997 - Journal of Physics A: Mathematical and General, vol. 30, no. 20, pp. L669–L676, 1997
- The higher-order KdV equation with a source and nonlinear superposition formula
Chaos, Solitons & Fractals, vol. 7, no. 2, pp. 211–215, 1996 -
Bilinear Characterization of Higher Order Ito-Equations
Journal of the Physics Society Japan, vol. 65, no. 5, pp. 1222–1226, 1996 - A Ba¨cklund transformation and nonlinear superposition formula of a modified Korteweg–de Vries-type bilinear equation
Journal of Mathematical Physics, vol. 35, no. 9, p. 4739, 1994 - Journal of Physics A: Mathematical and General, vol. 27, no. 7, pp. L207–L212, 1994
- Journal of Physics A: Mathematical and General, vol. 25, no. 1, pp. 231–240, 1992
- Journal of Physics A: Mathematical and General, vol. 24, no. 14, pp. 3205–3212, 1991
- Journal of Physics A: Mathematical and General, vol. 24, no. 9, pp. 1979–1985, 1991