I studied Construction Engineering in the middle 1980s in Xi’an University of
Architecture & Technology, China, and received my master degree of mechanical
engineering in 1990 from Shanghai University, China, my thesis was Reliability Analysis
of Pneumatical Cylinders. Subsequently I worked as an engineer in two manufactories for
about 3 years. In late 1993 I became a Ph.D. candidate in Shanghai University where I
studied aerodynamics and calculus of variations. In my Ph.D. thesis (defended in 1997) I
proposed a new method called the semi-inverse method to search for variational principles
in fluids. At that time, the finite element method became popular in China, and there was
not a universal approach to establishment of a variational formulation directly from the
governing equations and boundary/initial conditions. Lagrange multiplier method is the
most used method, but the method becomes invalid for some special cases (e.g. the
multiplier is vanishing), the semi-inverse method was originally suggested to eliminate
the demerit of the Lagrange multiplier method, and it has become a useful mathematical
tool to the establishment of a variational formulation for a real-life problem. 

After graduation, I focused myself on variational theory for smart material and fluid
mechanics, and then I turned my interest into analytical methods for nonlinear equations,
and suggested some new approximate analytical methods, e.g., the variational iteration
method, the homotopy perturbation method, and the parameter-expansion method, which are
now widely used to solve various nonlinear equations. In 2002, I moved to Donghua
University doing research work on nanotechnology. Our group devised some new devices for
producing nanofibers, such as vibration-electrospinning and megnetio-electrospinning.
Just few months ago, we mimicked the possible mechanism of spider-spinning, and suggested
a new method called the bubble-electrospinning for producing nanofibers with
high-throughput. By the way, I am also interest in biology and high-energy physics, and
published some papers on allometric scaling and E-infinity theory. 

Ancient Chinese Mathematics

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An Improved Amplitude-frequency Formulation for Nonlinear Oscillators, International Journal of Nonlinear Sciences and Numerical Simulation, 9(2),211-212, 2008 (2008)
A brief introduction to amplitude-frequency formulae for nonlinear oscillators is given, an improved one is...
 

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Comment on ‘He’s frequency formulation for nonlinear oscillators’, Eur. J. Phys. 29 (2008) L19–L22 (2008)
Geng and Cai suggested a modified He’s frequency–amplitude formulation for nonlinear oscillators (Geng and Cai...
 

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Max-Min Approach to Nonlinear Oscillators, International Journal of Nonlinear Sciences and Numerical Simulation, 9(2),207-210, 2008 (2008)
This paper suggests a novel method called max-min method. Maximal and minimal solution thresholds of...
 

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Rebuild of King Fang 40 BC musical scales, Applied Mathematics and Computation (2005)
 

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Zu-Gengs axiom vs Cavalieris theory, Applied Mathematics and Computation (2004)
 

biotechnology

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An allometric scaling law for understanding mammalian sleep, African Journal of Biotechnology (2008)
An allometric scaling law is established for explaining sleep time per day which scales with...
 

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Geometrical approach to length-biomass allometry in predominantly bidimensional seaweeds, African Journal of Biotechnology Vol. 7 (8), pp. 1009-1010, 17 April, 2008 (2008)
Scosati studied experimentally length-biomass allometry in primary producers (vascular plants and unicellular microalgae), and found...
 

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Hierarchy of Wool Fibers and Fractal Dimensions (with Jie Fan and Jun-Fang Liu), . International Journal of Nonlinear Sciences and Numerical Simulation,9(3),293-296, 2008 (2008)
Wool fiber shows excellent advantages in warmth-retaining and many other practical properties possibly due to...
 

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Nano Bubble Dynamics in Spider Spinning System, Journal of Animal and Veterinary Advances (2008)
A possible mechanism in the spider-spinning process is illustrated and a nanobubble dynamical model is...
 

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A modified Hodgkin–Huxley model, Chaos, Solitons and Fractals (2006)
A modified Hodgkin–Huxley model is suggested by taking into account the size effect of ionic...
 

calculus of variations

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Variational approach for nonlinear oscillators, CHAOS SOLITONS & FRACTALS (2007)
We propose a novel variational approach for limit cycles of a kind of nonlinear oscillators....
 

E-infinity Theory (El Naschie Space-time theory)

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E-Infinity theory and the Higgs field, Chaos, Solitons & Fractals, Volume 31, Issue 4, February 2007, Pages 782-786 (2007)
E-Infinity theory predicts nine more elementary particles to be discovered in a standard model including...
 

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Twenty-six dimensional polytope and high energy spacetime physics (with Lan Xu, Li-Na Zhang, and Xu-Hong Wu), Chaos, Solitons and Fractals 33 (2007) 5–13 (2007)
We give the exact geometrical shape and study the combinatorial properties of higher dimensional polytopes...
 

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Application of E-infinity theory to biology, Chaos, Solitons & Fractals, Volume 28, Issue 2, April 2006, Pages 285-289 (2006)
Albert Einstein combined continuous space and time into his special relativity, El-Naschie discovered the transfinite...
 

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Application of E-infinity theory to biology, Chaos Solitons and fractals, Volume 28, Issue 2, April 2006, Pages 285-289 (2006)
Albert Einstein combined continuous space and time into his special relativity, El-Naschie discovered the transfinite...
 

exp-function method

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Exp-function method to solve the nonlinear dispersive K(m,n) equations (with Xin-Wei Zhou and Yi-Xin Wen), International Journal of Nonlinear Sciences and Numerical Simulation,9(3),301-306, 2008 (2008)
Some new exact solutions are obtained for the nonlinear dispersive K(m, n) equations using the...
 

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Generalized solitary solution and compacton-like solution of the Jaulent–Miodek equations using the Exp-function method, Physics Letters A, Volume 372, Issue 7, 11 February 2008, Pages 1044-1047 (2008)
A new generalized solitary solution of the Jaulent–Miodek equations is obtained using the Exp-function method....
 

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Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method (with Xu-Hong WU), Computers & Mathematics with Applications, Volume 54, Issues 7-8, October 2007, Pages 966-986 (2007)
Abstract In this paper, the Exp-function method is used for seeking solitary solutions, periodic solutions,...
 

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Exp-function method for nonlinear wave equations (with Xu-Hong Wu), Chaos, Solitons & Fractals, Volume 30, Issue 3, November 2006, Pages 700-708 (2006)
In this paper, a new method, called Exp-function method, is proposed to seek solitary solutions,...
 

Homotopy perturbation method

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Professor JH He, A Featured Scientist from Essential Science IndicatorsSM, Science Watch, April 2008 (2008)
According to a recent analysis of Essential Science Indicators from Thomson Scientific, Professor Ji-Huan He...
 

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Recent development of the homotopy perturbation method, Topological Methods in Nonlinear Analysis, (2008)
The homotopy perturbation method is extremely accessible to non-mathematicians and engineers. The method decomposes a...
 

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A coupling method of a homotopy technique and a perturbation technique for non-linear problems, International Journal of Non-Linear Mechanics (2000)
In this paper, a coupling method of a homotopy technique and a perturbation technique is...
 

Interview

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Professor JH He, A Featured Scientist from Essential Science IndicatorsSM, Science Watch, April 2008 (2008)
According to a recent analysis of Essential Science Indicators from Thomson Scientific, Professor Ji-Huan He...
 

nanotechnology

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A New Resistance Formulation for Carbon Nanotubes, Journal of Nanomaterials, vol. 2008, Article ID 954874, 2008. (2008)
A new resistance formulation for carbon nanotubes is suggested using fractal approach. The new formulation...
 

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BioMimic fabrication of electrospun nanofibers with high-throughput (with Yong Liu, Lan Xu, Jian-Yong Yu, and Gang Sun), Chaos, Solitons & Fractals (2008)
Spider-spun fiber is of extraordinary strength and toughness comparable to those of electrospun fiber, the...
 

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Controlling numbers and sizes of beads in electrospun nanofibers (with Yong Liu, Jian-yong YU, and Hong-mei Zeng), Polymer International, Volume 57, Issue 4, Date: April 2008, Pages: 632-636 (2008)
Abstract BACKGROUND: Electrospinning is a powerful and effective method to produce nanofibers. Beads have been...
 

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Effect of Concentration on Electrospun Polyacrylonitrile (PAN) Nanofibers (with Yu-Qin Wan and Jian-Yong yu), Fibers and Polymers 2008, Vol.9, No.2, 140-142 (2008)
Abstract: An allometrical scaling relationship between the diameter of electrospun nanofiber and solution concentration is...
 

parameter-expanding method /parameter-expansion method

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Nonlinear oscillator with discontinuity by parameter-expansion method (with Shu-Qiang Wang), Chaos, Solitons & Fractals, Volume 35, Issue 4, February 2008, Pages 688-691 (2008)
The parameter-expansion method is applied to a nonlinear oscillator with discontinuity. One iteration is sufficient...
 

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Application of parameter-expanding method to strongly nonlinear oscillators (with Da-Hua Shou), INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION (2007)
The parameter-expanding method is applied to a strongly nonlinear oscillator. The obtained frequency is of...
 

review article

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AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING, International Journal of Modern Physics B (IJMPB) , 22( 21)(2008) Page: 3487 - 3578 (2008)
This review is an elementary introduction to the concepts of the recently developed asymptotic methods...
 

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New interpretation of homotopy perturbation method, INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2006)
The present work constitutes a guided tour through the mathematics needed for a proper understanding...
 

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SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS, International Journal of Modern Physics B (2006)

This paper features a survey of some recent developments in asymptotic techniques, which are valid...

 

variational iteration method

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Variational iteration method - Some recent results and new interpretations, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2007)
This paper is an elementary introduction to the concepts of variational iteration method. First, the...
 

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Variational iteration method: New development and applications (with Xu-Hong Wu), COMPUTERS & MATHEMATICS WITH APPLICATIONS (2007)

Variational iteration method has been favourably applied to various kinds of nonlinear problems. The main...

 

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Approximate analytical solution for seepage flow with fractional derivatives in porous media, Computer Methods in Applied Mechanics and Engineering, Volume 167, Issues 1-2, 1 December 1998, Pages 57-68 (1998)
In this paper, a new and more exact model for seepage flow in porous media...
 

No subject area

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Variational Iteration Method for a Nonlinear Reaction-Diffusion Process (with Shu-Qiang Wang), International Journal of Chemical Reactor Engineering (2008)
An extremely simple and elementary, but rigorous derivation of temperature distribution of a reaction-diffusion process...