HongQing Zhang

Dalian University of Technology, China

Articles in Scholarly Journals [Incomplete List]

  1. Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations
    Acta Applicandae Mathematicae, 2008
  2. Exp-Function Based Solution of Nonlinear Radhakrishnan, Kundu and Laskshmanan (RKL) Equation
    Acta Applicandae Mathematicae, 2008
  3. Modified Camassa–Holm and Degasperis–Procesi Equations Solved by Adomian’s Decomposition Method and Comparison with HPM and Exact Solutions
    Acta Applicandae Mathematicae, 2008
  4. Periodic Solution for Strongly Nonlinear Vibration Systems by He’s Energy Balance Method
    Acta Applicandae Mathematicae, 2008
  5. Application of He’s Variational Iteration Method for Solving Nonlinear BBMB Equations and Free Vibration of Systems
    Acta Applicandae Mathematicae, 2008
  6. Comparison of Energy Balance Period with Exact Period for Arising Nonlinear Oscillator Equations
    Acta Applicandae Mathematicae, 2008
  7. Homotopy perturbation based linearization of nonlinear heat transfer dynamic
    Journal of Applied Mathematics and Computing, 2008
  8. A new modification of He’s homotopy perturbation method for rapid convergence of nonlinear undamped oscillators
    Journal of Applied Mathematics and Computing, 2008
  9. Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations
    Applied Mathematics and Computation, vol. 197, no. 1, pp. 87–95, 2008
  10. Hamiltonian structure of the integrable couplings for the multicomponent Dirac hierarchy
    Applied Mathematics and Computation, vol. 197, no. 2, pp. 828–835, 2008
  11. Exact travelling solutions for the Lax’s seventh-order KdV equation by sech method and rational exp-function method
    Applied Mathematics and Computation, vol. 206, no. 1, pp. 438–444, 2008
  12. Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method
    Applied Mathematical Modelling, 2008
  13. Rational approximation solution of the fractional Sharma–Tasso–Olever equation☆
    Journal of Computational and Applied Mathematics, 2008
  14. Jacobi elliptic function solutions of the (1 + 1)-dimensional dispersive long wave equation by Homotopy Perturbation Method
    Numerical Methods for Partial Differential Equations, vol. 24, no. 6, pp. 1361–1370, 2008
  15. New Hamiltonian structure of the fractional C-KdV soliton equation hierarchy
    Chaos, Solitons & Fractals, vol. 37, no. 3, pp. 688–697, 2008
  16. Analytic treatment of linear and nonlinear Schrödinger equations: A study with homotopy-perturbation and Adomian decomposition methods
    Physics Letters A, vol. 372, no. 4, pp. 465–469, 2008
  17. The multicomponent discrete equation hierarchy with variable spectral parameters and a new integrable coupling system
    Physics Letters A, vol. 372, no. 11, pp. 1750–1759, 2008
  18. Maintaining the stability of nonlinear differential equations by the enhancement of HPM
    Physics Letters A, 2008
  19. An approximation of the analytical solution of the Jeffery–Hamel flow by decomposition method
    Physics Letters A, 2008
  20. Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences
    Physics Letters A, vol. 372, no. 24, pp. 4399–4406, 2008
  21. Preliminary group classification for the nonlinear wave equation utt=f(x,u)uxx+g(x,u)utt=f(x,u)uxx+g(x,u)☆
    Nonlinear Analysis: Theory, Methods & Applications, 2008
  22. Kinematics of an offset 3-UPU translational parallel manipulator by the homotopy continuation method
    Nonlinear Analysis: Real World Applications, 2008
  23. A modified method to identification of Lagrange multipliers
    Journal of Physics: Conference Series, vol. 96, p. 012076, 2008
  24. Analysis of nonlinear oscillation systems using He's variational approach
    Journal of Physics: Conference Series, vol. 96, p. 012077, 2008
  25. Application of He's homotopy-perturbation method to strongly nonlinear coupled systems
    Journal of Physics: Conference Series, vol. 96, p. 012078, 2008
  26. Application of homotopy perturbation method to the MHD pipe flow of a fourth grade fluid
    Journal of Physics: Conference Series, vol. 96, p. 012079, 2008
  27. Application of the homotopy perturbation method for solving second-order non-linear wave equations
    Journal of Physics: Conference Series, vol. 96, p. 012080, 2008
  28. Application of variational iteration method to non-homogeneous non-linear dissipative wave equations
    Journal of Physics: Conference Series, vol. 96, p. 012081, 2008
  29. Application of homotopy perturbation method to the Zakharov-Kuznetsov equation
    Journal of Physics: Conference Series, vol. 96, p. 012082, 2008
  30. Numerical simulation of heat-like models with variable coefficients by the variational iteration method
    Journal of Physics: Conference Series, vol. 96, p. 012083, 2008
  31. Solutions of nonlinear oscillator differential equations using the variational iteration method
    Journal of Physics: Conference Series, vol. 96, p. 012084, 2008
  32. Variational iteration method for solving Sivashinsky equation
    Journal of Physics: Conference Series, vol. 96, p. 012085, 2008
  33. Selection of stabilizable linear part of HPM using a linearization-based technique
    Physica Scripta, vol. 78, no. 2, p. 025002, 2008
  34. Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method
    Differential Equations and Nonlinear Mechanics, vol. 2008, Article ID 243459, 8 pages, 2008
  35. An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics
    Mathematical Problems in Engineering, vol. 2008, Article ID 394103, 13 pages, 2008
  36. Solving Ratio-Dependent Predator-Prey System with Constant Effort Harvesting Using Homotopy Perturbation Method
    Mathematical Problems in Engineering, vol. 2008, Article ID 945420, 8 pages, 2008
  37. Application of Homotopy-Perturbation Method for Systems of Nonlinear Momentum and Heat Transfer Equations
    Heat Transfer Research, vol. 38, no. 4, pp. 361–379, 2007
  38. Analytical Treatment of Fins with Temperature-Dependent Surface Heat Flux Using the Homotopy Perturbation Method and Comparison of Decomposition and Numerical Methods
    Heat Transfer Research, vol. 38, no. 5, pp. 407–415, 2007
  39. Application of Variational Iteration and Homotopy-Perturbation Methods to Nonlinear Heat Transfer Equations with Variable Coefficients
    Numerical Heat Transfer, Part A: Applications, vol. 52, no. 1, pp. 25–42, 2007
  40. The extension of the Jacobi elliptic function rational expansion method
    Communications in Nonlinear Science and Numerical Simulation, vol. 12, no. 5, pp. 702–713, 2007
  41. Some nonlinear heat transfer equations solved by three approximate methods☆
    International Communications in Heat and Mass Transfer, vol. 34, no. 8, pp. 1003–1016, 2007
  42. The variational iteration method for nonlinear oscillators with discontinuities
    Journal of Sound and Vibration, vol. 305, no. 4-5, pp. 614–620, 2007
  43. Soliton-like and periodic form solutions to (2+1)-dimensional Toda equation☆
    Chaos, Solitons & Fractals, vol. 31, no. 1, pp. 197–204, 2007
  44. A new Lie algebra to the multi-component Toda hierarchy and its discrete integrable coupling system
    Chaos, Solitons & Fractals, vol. 32, no. 3, pp. 1053–1058, 2007
  45. A new general algebraic method with symbolic computation to construct new exact analytical solution for a (2+1)-dimensional cubic nonlinear Schrödinger equation
    Chaos, Solitons & Fractals, vol. 32, no. 3, pp. 1101–1107, 2007
  46. A new loop algebra system and its discrete integrable coupling system
    Chaos, Solitons & Fractals, vol. 33, no. 3, pp. 829–834, 2007
  47. A method for constructing discrete exact solutions and application to quintic discrete nonlinear Schrödinger equation☆
    Chaos, Solitons & Fractals, vol. 33, no. 2, pp. 642–652, 2007
  48. Application of homotopy perturbation method in nonlinear heat conduction and convection equations
    Physics Letters A, vol. 360, no. 4-5, pp. 570–573, 2007
  49. The application of He's variational iteration method to nonlinear equations arising in heat transfer
    Physics Letters A, vol. 363, no. 3, pp. 213–217, 2007
  50. Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations
    Physics Letters A, vol. 364, no. 1, pp. 1–6, 2007
  51. Application of variational iteration method and homotopy–perturbation method for nonlinear heat diffusion and heat transfer equations
    Physics Letters A, vol. 368, no. 6, pp. 450–457, 2007
  52. Exact solutions of Laplace equation by homotopy-perturbation and Adomian decomposition methods
    Physics Letters A, vol. 367, no. 1-2, pp. 83–87, 2007
  53. Application of homotopy analysis method to fractional KdV–Burgers–Kuramoto equation?
    Physics Letters A, vol. 367, no. 1-2, pp. 88–94, 2007
  54. Approximate explicit solutions of nonlinear BBMB equations by He's methods and comparison with the exact solution
    Physics Letters A, vol. 367, no. 1-2, pp. 95–101, 2007
  55. He's variational iteration method for solving a semi-linear inverse parabolic equation
    Physics Letters A, vol. 370, no. 3-4, pp. 275–280, 2007
  56. Application of homotopy-perturbation method to the second kind of nonlinear integral equations
    Physics Letters A, vol. 371, no. 1-2, pp. 20–25, 2007
  57. Application of He's homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate
    Physics Letters A, vol. 372, no. 1, pp. 33–38, 2007
  58. Application of He’s variational iteration method for solving the reaction–diffusion equation with ecological parameters
    Computers & Mathematics with Applications, vol. 54, no. 7-8, pp. 1010–1017, 2007
  59. Variational iteration method and homotopy perturbation method for nonlinear evolution equations
    Computers & Mathematics with Applications, vol. 54, no. 7-8, pp. 1018–1027, 2007
  60. Exact solutions of nonlinear diffusion equations by variational iteration method
    Computers & Mathematics with Applications, vol. 54, no. 7-8, pp. 1112–1121, 2007
  61. Application of He’s methods to nonlinear chemistry problems
    Computers & Mathematics with Applications, vol. 54, no. 7-8, pp. 1122–1132, 2007
  62. Application of He's variational iteration method to nonlinear Jaulent–Miodek equations and comparing it with ADM
    Journal of Computational and Applied Mathematics, vol. 207, no. 1, pp. 35–45, 2007
  63. Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
    Journal of Computational and Applied Mathematics, vol. 207, no. 1, pp. 24–34, 2007
  64. A new coupled sub-equations expansion method and novel complexiton solutions of (2+1)-dimensional Burgers equation
    Applied Mathematics and Computation, vol. 186, no. 1, pp. 632–637, 2007
  65. Variational iteration method for solving the epidemic model and the prey and predator problem
    Applied Mathematics and Computation, vol. 186, no. 2, pp. 1701–1709, 2007
  66. Generalized method and new exact wave solutions for (2+1)-dimensional Broer–Kaup–Kupershmidt system?
    Applied Mathematics and Computation, vol. 187, no. 2, pp. 644–657, 2007
  67. Solution of the epidemic model by homotopy perturbation method
    Applied Mathematics and Computation, vol. 187, no. 2, pp. 1056–1062, 2007
  68. A new Korteweg–de Vries equation-based sub-equation method and its application to the (2+1)-dimensional Korteweg–de Vries equation?
    Applied Mathematics and Computation, vol. 187, no. 2, pp. 1368–1372, 2007
  69. New exact solutions for the Konopelchenko–Dubrovsky equation using an extended Riccati equation rational expansion method and symbolic computation?
    Applied Mathematics and Computation, vol. 187, no. 2, pp. 1373–1388, 2007
  70. Constructing a multi-function equation hierarchy and its integrable coupling system with MAPLE
    Applied Mathematics and Computation, vol. 187, no. 2, pp. 1208–1218, 2007
  71. Applications of the combined tanh function method with symmetry method to the nonlinear evolution equations
    Applied Mathematics and Computation, vol. 188, no. 1, pp. 385–393, 2007
  72. Solution of the prey and predator problem by homotopy perturbation method
    Applied Mathematics and Computation, vol. 188, no. 2, pp. 1419–1425, 2007
  73. Generalized Riccati equation rational expansion method and its application
    Applied Mathematics and Computation, vol. 189, no. 1, pp. 490–499, 2007
  74. A new variable coefficient Korteweg-de Vries equation-based sub-equation method and its application to the (3+1)-dimensional potential-YTSF equation
    Applied Mathematics and Computation, vol. 189, no. 1, pp. 560–566, 2007
  75. New complexiton solutions of the nonlinear evolution equations using a generalized rational expansion method with symbolic computation?
    Applied Mathematics and Computation, vol. 190, no. 1, pp. 974–986, 2007
  76. Numerical simulation of the generalized Huxley equation by He’s homotopy perturbation method
    Applied Mathematics and Computation, vol. 192, no. 1, pp. 157–161, 2007
  77. A new fractional order soliton equation hierarchy and its integrable coupling system
    Applied Mathematics and Computation, vol. 194, no. 1, pp. 259–266, 2007
  78. A new Riccati equation expansion method with symbolic computation to construct new travelling wave solution of nonlinear differential equations
    Applied Mathematics and Computation, vol. 172, no. 1, pp. 24–39, 2006
  79. A modified hyperbolic function method and its application to the Toda lattice
    Applied Mathematics and Computation, vol. 172, no. 2, pp. 938–945, 2006
  80. A symbolic computational method for constructing exact solutions to difference-differential equations☆
    Applied Mathematics and Computation, 2006
  81. New exact solutions of the Broer–Kaup equations in (2+1)-dimensional spaces
    Applied Mathematics and Computation, vol. 180, no. 2, pp. 664–675, 2006
  82. Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation
    Applied Mathematics and Computation, vol. 181, no. 1, pp. 247–255, 2006
  83. A new general algebraic method with symbolic computation and its application to two nonlinear differential equations with nonlinear terms of any order
    Applied Mathematics and Computation, vol. 182, no. 2, pp. 1330–1340, 2006
  84. The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
    Chaos, Solitons & Fractals, vol. 27, no. 4, pp. 1036–1041, 2006
  85. Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system
    Chaos, Solitons & Fractals, vol. 28, no. 1, pp. 112–126, 2006
  86. A new discrete integrable system and its discrete integrable coupling system
    Chaos, Solitons & Fractals, vol. 29, no. 5, pp. 1173–1177, 2006
  87. Assessment of homotopy–perturbation and perturbation methods in heat radiation equations?
    International Communications in Heat and Mass Transfer, vol. 33, no. 3, pp. 391–400, 2006
  88. The quadratic trace identity for constructing Hamiltonian structures of the multicomponent equation hierarchies
    Physics Letters A, vol. 353, no. 4, pp. 307–317, 2006
  89. A 2+12+1 non-isospectral discrete integrable system and its discrete integrable coupling system
    Physics Letters A, vol. 353, no. 4, pp. 326–331, 2006
  90. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
    Physics Letters A, vol. 355, no. 4-5, pp. 337–341, 2006
  91. Solitary wave solutions for a generalized Hirota–Satsuma coupled KdV equation by homotopy perturbation method
    Physics Letters A, vol. 356, no. 2, pp. 131–137, 2006
  92. New generalized hyperbolic functions and auto-Bäcklund transformation to find new exact solutions of the (2+1)(2+1)-dimensional NNV equation
    Physics Letters A, vol. 357, no. 6, pp. 438–448, 2006
  93. A General Lumped Model for Unsteady Heat Conduction of an Asymmetric Cylinder and Unsteady Couette Flow
    Heat Transfer Research, vol. 37, no. 1, pp. 1–20, 2006
  94. Exact solutions for two nonlinear wave equations with nonlinear terms of any order
    Communications in Nonlinear Science and Numerical Simulation, vol. 10, no. 2, pp. 133–138, 2005
  95. An extended Jacobi elliptic function rational expansion method and its application to (2+12+1)-dimensional dispersive long wave equation
    Physics Letters A, vol. 340, no. 5-6, pp. 411–426, 2005
  96. A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation
    Chaos, Solitons & Fractals, vol. 25, no. 5, pp. 1019–1028, 2005
  97. The extended Jacobi elliptic function method to solve a generalized Hirota–Satsuma coupled KdV equations
    Chaos, Solitons & Fractals, vol. 26, no. 5, pp. 1415–1421, 2005
  98. New exact travelling wave solutions for the shallow long wave approximate equations
    Applied Mathematics and Computation, vol. 160, no. 1, pp. 77–88, 2005
  99. Applications of a further extended tanh method
    Applied Mathematics and Computation, vol. 159, no. 2, pp. 401–406, 2004
  100. Explicit exact solutions for a new generalized Hamiltonian amplitude equation with nonlinear terms of any order
    Zeitschrift f�r angewandte Mathematik und Physik, vol. 55, no. 6, pp. 983–993, 2004
  101. New applications of a further extended tanh method
    Physics Letters A, vol. 324, no. 4, pp. 293–298, 2004
  102. New exact solutions for some nonlinear differential equations using symbolic computation
    Applied Mathematics and Computation, vol. 149, no. 1, pp. 277–298, 2004
  103. Generalized Riccati equation expansion method and its application to the (3+1)-dimensional Jumbo–Miwa equation
    Applied Mathematics and Computation, vol. 152, no. 2, pp. 581–595, 2004
  104. New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces
    Mathematics and Computers in Simulation, vol. 64, no. 5, pp. 549–559, 2004
  105. New multiple soliton solutions to the general Burgers–Fisher equation and the Kuramoto–Sivashinsky equation
    Chaos, Solitons & Fractals, vol. 19, no. 1, pp. 71–76, 2004
  106. Soliton like and multi-soliton like solutions for the Boiti–Leon–Pempinelli equation
    Chaos, Solitons & Fractals, vol. 19, no. 3, pp. 527–531, 2004
  107. Auto-Bäcklund Transformations and Exact Solutions for Some Nonlinear Partial Differential Equations with Nonlinear Terms of Any Order
    Czechoslovak Journal of Physics, vol. 54, no. 2, pp. 167–176, 2004
  108. International Journal of Modern Physics C [Computational Physics and Physical Computation], vol. 15, no. 5, p. 741, 2004
  109. New Double Periodic Solutions for a Kind of Nonlinear Wave Equation
    Progress of Theoretical Physics, vol. 109, no. 5, pp. 709–716, 2003
  110. International Journal of Modern Physics C [Computational Physics and Physical Computation], vol. 14, no. 4, p. 471, 2003
  111. Czechoslovak Journal of Physics, vol. 53, no. 4, pp. 283–295, 2003
  112. On a further extended tanh method
    Physics Letters A, vol. 307, no. 5-6, pp. 269–273, 2003
  113. Generalized extended tanh-function method and its application to (1+1)-dimensional dispersive long wave equation
    Physics Letters A, vol. 311, no. 2-3, pp. 145–157, 2003
  114. Explicit exact solutions for compound KdV-type and compound KdV–Burgers-type equations with nonlinear terms of any order
    Chaos, Solitons & Fractals, vol. 15, no. 4, pp. 647–654, 2003
  115. Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order
    Chaos, Solitons & Fractals, vol. 17, no. 4, pp. 675–682, 2003
  116. Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations
    Chaos, Solitons & Fractals, vol. 17, no. 4, pp. 693–698, 2003
  117. Symbolic computation and construction of soliton-like solutions for a breaking soliton equation
    Chaos, Solitons & Fractals, vol. 17, no. 5, pp. 885–893, 2003
  118. Exact travelling wave solutions for a generalized Zakharov–Kuznetsov equation
    Applied Mathematics and Computation, vol. 146, no. 2-3, pp. 653–666, 2003
  119. Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV–Burgers-type equations with nonlinear terms of any order
    Physics Letters A, vol. 305, no. 6, pp. 377–382, 2002
  120. Theoretical and Mathematical Physics, vol. 132, no. 1, pp. 970–975, 2002
  121. A Lax integrable hierarchy, N-Hamiltonian structure, r-matrix, finite-dimensional Liouville integrable involutive systems, and involutive solutions
    Chaos, Solitons & Fractals, vol. 13, no. 7, pp. 1439–1450, 2002
  122. Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV Burgers-type equations with nonlinear terms of any order
    Journal of Physics A: Mathematical and General, vol. 35, no. 39, pp. 8253–8265, 2002
  123. A direct method for integrable couplings of TD hierarchy
    Journal of Mathematical Physics, vol. 43, no. 1, p. 466, 2002
  124. A family of new integrable couplings with two arbitrary functions of TC hierarchy
    Journal of Mathematical Physics, vol. 43, no. 10, p. 4978, 2002
  125. Explicit and exact traveling wave solutions of Whitham–Broer–Kaup shallow water equations
    Physics Letters A, vol. 285, no. 1-2, pp. 76–80, 2001
  126. New explicit solitary wave solutions and periodic wave solutions for Whitham–Broer–Kaup equation in shallow water
    Physics Letters A, vol. 285, no. 5-6, pp. 355–362, 2001
  127. New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
    Physics Letters A, vol. 252, no. 6, pp. 291–296, 1999
  128. Explicit and exact solutions for the generalized reaction duffing equation
    Communications in Nonlinear Science and Numerical Simulation, vol. 4, no. 3, pp. 224–227, 1999
  129. Backlund transformation and exact solutions for (2 + 1)-dimensional Kolmogoroff-Petrovsky-Piscounov equation
    Communications in Nonlinear Science and Numerical Simulation, vol. 4, no. 2, pp. 146–151, 1999
  130. New exact solutions to a system of coupled KdV equations
    Physics Letters A, vol. 245, no. 5, pp. 389–392, 1998
  131. A note on the homogeneous balance method
    Physics Letters A, vol. 246, no. 5, pp. 403–406, 1998