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]

  1. On the pfaffianized-KP equation with self-consistent sources
    Journal of Mathematical Analysis and Applications, vol. 338, no. 1, pp. 82–90, 2008
  2. 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
  3. 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
  4. 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
  5. A (2+12+1)-dimensional sinh-Gordon equation and its Pfaffian generalization
    Physics Letters A, vol. 360, no. 3, pp. 439–447, 2007
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. A Supersymmetric Ito's Equation and its Soliton Solutions
    Journal of the Physics Society Japan, vol. 75, no. 6, p. 064004, 2006
  13. On an integrable differential-difference equation with a source
    Journal of Non-linear Mathematical Physics, vol. 13, no. 2, Article ID 383, 2006
  14. Construction of dKP and BKP equations with self-consistent sources
    Inverse Problems, vol. 22, no. 5, pp. 1903–1920, 2006
  15. Matrix Integrals and Several Integrable Differential-Difference Systems
    Journal of the Physics Society Japan, vol. 75, no. 5, p. 054003, 2006
  16. On a discrete Davey–Stewartson system
    Inverse Problems, vol. 22, no. 5, pp. 1677–1688, 2006
  17. Commutativity of Pfaffianization and Bäcklund transformations: the KP equation
    Inverse Problems, vol. 21, no. 4, pp. 1461–1472, 2005
  18. Pfaffianization of the discrete three-dimensional three wave interaction equation
    Linear Algebra and its Applications, vol. 407, pp. 277–295, 2005
  19. On an integrable modified -dimensional Lotka–Volterra equation
    Journal of Mathematical Analysis and Applications, vol. 309, no. 2, pp. 686–700, 2005
  20. A pfaffian version of the modified discrete KP equation
    Journal of Mathematical Analysis and Applications, vol. 311, no. 2, pp. 518–529, 2005
  21. 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
  22. Pfaffianization of the three-dimensional three-wave equation
    Journal of Physics A: Mathematical and General, vol. 38, no. 5, pp. 1113–1118, 2005
  23. Supersymmetric modified Korteweg–de Vries equation: bilinear approach
    Nonlinearity, vol. 18, no. 4, pp. 1597–1603, 2005
  24. Applying the Pfaffianization Procedure to the Two-Dimensional Leznov Lattice
    Theoretical and Mathematical Physics, vol. 144, no. 3, pp. 1288–1295, 2005
  25. 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
  26. 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
  27. Pfaffianization of the Differential-Difference KP Equation
    Journal of the Physics Society Japan, vol. 73, no. 5, pp. 1159–1163, 2004
  28. 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
  29. 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
  30. 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
  31. Pfaffianization of the two-dimensional Toda lattice
    Journal of Mathematical Analysis and Applications, vol. 296, no. 1, pp. 256–261, 2004
  32. Gramm-type Pfaffian solutions to three differential-difference coupled systems
    Inverse Problems, vol. 20, no. 4, pp. 1293–1306, 2004
  33. Pfaffianization of the semi-discrete Toda equation
    Physics Letters A, vol. 329, no. 3, pp. 193–198, 2004
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. Rational Solutions of an Extended Lotka-Volterra Equation
    Journal of Non-linear Mathematical Physics, vol. 9, no. Supplement 1, Article ID 711, 2002
  41. On multiple soliton solutions of some simple differential-difference equations
    Inverse Problems, vol. 18, no. 6, pp. 1499–1508, 2002
  42. 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
  43. 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
  44. Remarks on several 2+1 dimensional lattices
    Journal of Mathematical Physics, vol. 43, no. 2, p. 1008, 2002
  45. Theoretical and Mathematical Physics, vol. 127, no. 3, pp. 738–743, 2001
  46. Application of bilinear method to integrable differential-difference equations
    Glasgow Mathematical Journal, vol. 43, no. A, pp. 43–51, 2001
  47. Inverse Problems, vol. 17, no. 2, pp. 319–327, 2001
  48. Some Recent Results on Integrable Bilinear Equations
    Journal of Non-linear Mathematical Physics, vol. 8, no. Supplement, Article ID 789, 2001
  49. Journal of Physics A: Mathematical and General, vol. 34, no. 48, pp. 10577–10584, 2001
  50. A Differential-Difference Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
    Journal of the Physics Society Japan, vol. 69, no. 4, pp. 1042–1049, 2000
  51. 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
  52. 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
  53. 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
  54. 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
  55. 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
  56. 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
  57. Soliton solutions and symmetries of the 2+1 dimensional Kaup–Kupershmidt equation
    Physics Letters A, vol. 262, no. 6, pp. 409–415, 1999
  58. A generalized Hirota–Satsuma coupled Korteweg–de Vries equation and Miura transformations
    Physics Letters A, vol. 255, no. 4-6, pp. 259–264, 1999
  59. Hirota bilinear approach to a new integrable differential-difference system
    Journal of Mathematical Physics, vol. 40, no. 4, p. 2001, 1999
  60. 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
  61. 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
  62. Journal of Physics A: Mathematical and General, vol. 30, no. 23, pp. 8225–8240, 1999
  63. Journal of Physics A: Mathematical and General, vol. 30, no. 5, pp. L95–L100, 1999
  64. Journal of Physics A: Mathematical and General, vol. 31, no. 20, pp. 4755–4761, 1999
  65. Journal of Physics A: Mathematical and General, vol. 30, no. 2, pp. 619–632, 1999
  66. Two Integrable Coupled Nonlinear Systems
    Journal of the Physics Society Japan, vol. 68, no. 2, pp. 369–379, 1999
  67. Journal of Physics A: Mathematical and General, vol. 32, no. 45, pp. 7901–7906, 1999
  68. Journal of Physics A: Mathematical and General, vol. 32, no. 8, pp. 1515–1521, 1999
  69. Journal of Physics A: Mathematical and General, vol. 29, no. 15, pp. 4589–4592, 1999
  70. Journal of Physics A: Mathematical and General, vol. 30, no. 10, pp. 3635–3641, 1999
  71. Some New Results on a Highly Nonlinear Differential-Difference Equation
    Journal of the Physics Society Japan, vol. 67, no. 10, pp. 3645–3646, 1998
  72. 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
  73. Journal of Physics A: Mathematical and General, vol. 31, no. 44, pp. 8859–8868, 1998
  74. Journal of Physics A: Mathematical and General, vol. 31, no. 5, pp. 1405–1414, 1998
  75. 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
  76. Application of the Hirota bilinear formalism to a new integrable differential-difference equation
    Physics Letters A, vol. 246, no. 6, pp. 523–529, 1998
  77. Infinitely many Lax pairs and symmetry constraints of the KP equation
    Journal of Mathematical Physics, vol. 38, no. 12, p. 6401, 1997
  78. Journal of Physics A: Mathematical and General, vol. 30, no. 20, pp. L669–L676, 1997
  79. The higher-order KdV equation with a source and nonlinear superposition formula
    Chaos, Solitons & Fractals, vol. 7, no. 2, pp. 211–215, 1996
  80. Bilinear Characterization of Higher Order Ito-Equations
    Journal of the Physics Society Japan, vol. 65, no. 5, pp. 1222–1226, 1996
  81. 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
  82. Journal of Physics A: Mathematical and General, vol. 27, no. 7, pp. L207–L212, 1994
  83. Journal of Physics A: Mathematical and General, vol. 25, no. 1, pp. 231–240, 1992
  84. Journal of Physics A: Mathematical and General, vol. 24, no. 14, pp. 3205–3212, 1991
  85. Journal of Physics A: Mathematical and General, vol. 24, no. 9, pp. 1979–1985, 1991