My new emails: ijnsns@aliyun.com and hejihuan@suda.edu.cn 

my old one jhhe@dhu.edu.cn was expired. 

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. 

review article

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a list of my publications, List of my publication (2012)

here is an incomplete list of my publications.

 

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Asymptotic Methods for Solitary Solutions and Compactons, Abstract and Applied Analysis (2012)

This review is an elementary introduction to some new asymptotic methods for the search for...

 

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The Variational Iteration Method Which Should Be Followed (with Guo-Cheng Wu and F. Austin), Nonlinear Science Letters A- Mathematics, Physics and Mechanics (2010)

This paper proposes three standard variational iteration algorithms for solving differential equations, integro-differential equations, fractional...

 

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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...

 

variational iteration method

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Variational iteration method for Bratu-like equation arising in electrospinning (with Hai-Yan Kong, Rou-Xi Chen, Ming-sheng Hu, and Qiao-ling Chen), Carbohydrate Polymers (2014)

This paper points out that the so called enhanced variational iteration method (Colantoni & Boubaker,...

 

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Dr. Guo-Cheng Wu’s web on variational iteration method (2012)

Dr. Wu is a rising star in applied mathematics, who is an expert on the...

 

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The Variational Iteration Method Which Should Be Followed (with Guo-Cheng Wu and F. Austin), Nonlinear Science Letters A- Mathematics, Physics and Mechanics (2010)

This paper proposes three standard variational iteration algorithms for solving differential equations, integro-differential equations, fractional...

 

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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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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...

 

nanotechnology

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Criterion for an oscillatory charged jet during the bubble spinning process (with H.Y. Kong), Scientia Iranica A (2014)

The oscillatory diameter of the charged jet during the bubble electrospinning results in beads on...

 

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EFFECT OF TEMPERATURE ON SURFACE TENSION OF A BUBBLE AND HIERARCHICAL RUPTURED BUBBLES FOR NANOFIBER FABRICATION, THERMAL SCIENCE (2012)

Polymer bubbles can be used to fabrication of nanofibers using the bubble electrospinning. Temperature is...

 

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REVIEW ON FIBER MORPHOLOGY OBTAINED BY BUBBLE ELECTROSPINNING AND BLOWN BUBBLE SPINNING (with Hai-Yan Kong, Rui-Rui Yang, Hao Dou, Naeem Faraz, Liang Wang, and Chao Feng), THERMAL SCIENCE (2012)

Here we show an intriguing phenomenon in the bubble electrospinning process that the ruptured film...

 

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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...

 

calculus of variations

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Lagrangian for nonlinear perturbed heat and wave equations, Applied Mathematics Letters (2013)

The perturbed heat and wave equations [A.H. Bokhari, A.G. Johnpillai, F.M. Mahomed, F.D. Zaman, Approximate...

 

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On the semi-inverse method and variational principle (with Xue-Wei, Li and Ya Li), Thermal Science (2013)

In this Open Forum, Liu et al. proved the equivalence between He-Lee 2009 variational principle...

 

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Hamiltonian approach to solitary solutions, Egyptian-Chinese Journal of Computational & Applied Mathematics (2012)

A variational principle is established for a nonlinear wave equation, and its Hamiltonian invariant can...

 

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Fractional Calculus of Variations in Fractal Spacetime (with Guo-Cheng Wu), Nonlinear Science Letters A (2010)

A physical law in continuous space-time is, in general, expressible by a variational principle. Physical...

 

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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....

 

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...

 

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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Fatalness of virus depends upon its cell fractal geometry, CHAOS SOLITONS & FRACTALS (2008)

Why do more complex viruses (e.g., HIV, AIDS-virus and SARS coronavirus) tend to be more...

 

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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...

 

Homotopy perturbation method

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Homotopy perturbation method with two expanding parameters, Indian J Phys (2014)

A homotopy perturbation method with two expanding parameters is suggested. The method is especially effective...

 

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Homotopy Perturbation Method with an Auxiliary Term, ABSTRACT AND APPLIED ANALYSIS (2012)

The two most important steps in application of the homotopy perturbation method are to construct...

 

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An elementary introduction to the homotopy perturbation method, COMPUTERS & MATHEMATICS WITH APPLICATIONS (2009)

This paper is an elementary introduction to the concepts of the homotopy perturbation method. Particular...

 

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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...

 

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)
 

exp-function method

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Exp-function Method for Fractional Differential Equations, International Journal of Nonlinear Sciences and Numerical Simulation (2013)

A fractional nonlinear wave equation is used as an example to elucidate how to solve...

 

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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,...

 

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...

 

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...

 

Encyclopedia

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Soliton Perturbation, Encyclopedia of Complexity and Systems Science (2009)

Glossary Soliton A soliton is a nonlinear pulse-like wave that can exist in some nonlinear...

 

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Solitons and Compactons (with Shun-Dong Zhu), Encyclopedia of Complexity and Systems Science (2009)

Article Outline Glossary Definition of the Subject Introduction Solitons Compactons Generalized Solitons and Compacton-like Solutions...

 

monograph

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Electrospun Nanofibres and Their Applications (with Yong Liu, Lu-Feng Mo, Yu-Qin Wan, and Lan Xu) (2008)

This Update covers all aspects of electrospinning as used to produce Nanofibres. It contains an...

 

fractional differential equations

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Fractal approach to heat transfer in silkworm cocoon hierarchy (with Dong-Dong Fei, Fu-Juan Liu, and Qiu-Na Cui), Thermal Science (2013)

Silkworm cocoon has a complex hierarchic structure with discontinuity. In this paper, heat transfer through...

 

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Local Fractional Variational Iteration Method for Fractal Heat transfer in Silk Cocoon hierarchy, Nonlinear Science Letters A (2013)

A local fractional equation is established for fractal heat transfer in silk cocoon hierarchy, and...

 

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CONVERTING FRACTIONAL DIFFERENTIAL EQUATIONS INTO PARTIAL DIFFERENTIAL EQUATIONS (with Zheng-Biao Li), THermal Science (2012)

A transform is suggested in this paper to convert fractional differential equations with the modified...

 

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A NEW FRACTAL DERIVATION, Thermal Science (2011)

A new fractal derive is defined, which is very easy for engineering applications to discontinuous...

 

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Application of the Fractional Complex Transform to Fractional Differential Equations (with Zheng-Biao Li), Nonlinear Science Letters A- Mathematics, Physics and Mechanics (2011)

The fractional complex transform is used to analytically deal with fractional differential equations. Two examples...

 

ijnsns

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articles in International journal of nonlinear sciences and numerical simulation, International Journal of Nonlinear Science and Numerical Simulation (2011)

papers published in IJNSNS

 

soochow university

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A remark on "A nonlinear mathematical model of the corneal shape", NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2012)

An analytical method using Taylor series is proposed to solve a nonlinear two-point boundary problem...

 

Low Carbon

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Effects of CO2 and temperature on biomass of parasitic plants, Low Carbon (2012)

A general model, based on consistence of metabolic rates of a parasitic plant and its...

 

conference

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A Historical Scientific Announcement on Dark Energy, Mini-symposium on Dark Energy, 2012 ISND (2012)

he mysterious secret of dark energy will be revealed in the mini-symposium on dark energy...

 

No subject area

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The 3rd International Symposium on Nonlinear Dynamics, will be held on Sept. 25-28, 2010, Shanghai , China (2010)

The 3rd International Symposium on Nonlinear Dynamics will be held on Sept. 25-28, 2010,Shanghai ,...

 

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...