• Publications
  • Influence
Homotopy perturbation technique
  • J. He
  • Mathematics
  • 1 August 1999
The homotopy perturbation technique does not depend upon a small parameter in the equation. By the homotopy technique in topology, a homotopy is constructed with an imbedding parameter p∈[0,1], whichExpand
  • 2,603
  • 193
  • PDF
Variational iteration method – a kind of non-linear analytical technique: some examples
  • J. He
  • Mathematics
  • 1 July 1999
Abstract In this paper, a new kind of analytical technique for a non-linear problem called the variational iteration method is described and used to give approximate solutions for some well-knownExpand
  • 2,180
  • 130
  • PDF
SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
  • J. He
  • Physics
  • 20 April 2006
This paper features a survey of some recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the obtainedExpand
  • 1,959
  • 101
A coupling method of a homotopy technique and a perturbation technique for non-linear problems
Abstract In this paper, a coupling method of a homotopy technique and a perturbation technique is proposed to solve non-linear problems. In contrast to the traditional perturbation methods, theExpand
  • 1,681
  • 83
Variational iteration method-Some recent results and new interpretations
  • J. He
  • Mathematics
  • 1 October 2007
This paper is an elementary introduction to the concepts of variational iteration method. First, the main concepts in variational iteration method, such as general Lagrange multiplier, restrictedExpand
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  • 68
Variational iteration method for autonomous ordinary differential systems
  • J. He
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 11 September 2000
TLDR
In this paper, a new iteration technique is proposed to solve autonomous ordinary differential systems using general Lagrange multipliers. Expand
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  • 65
HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
  • J. He
  • Physics
  • 30 January 2006
Homotopy perturbation method is applied to nonlinear boundary value problems. Comparison of the result obtained by the present method with that obtained by Adomian method [A.M. Wazwaz, Found. Phys.Expand
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  • 48
Homotopy perturbation method: a new nonlinear analytical technique
  • J. He
  • Computer Science, Mathematics
  • Appl. Math. Comput.
  • 1 February 2003
TLDR
This work is supported by the China National Natural Science Foundation. Expand
  • 1,249
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Exp-function method for nonlinear wave equations
Abstract In this paper, a new method, called Exp-function method, is proposed to seek solitary solutions, periodic solutions and compacton-like solutions of nonlinear differential equations. TheExpand
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The homotopy perturbation method for nonlinear oscillators with discontinuities
  • J. He
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 1 March 2004
TLDR
In the paper, the homotopy perturbation method is applied to nonlinear oscillators with discontinuities. Expand
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  • 38