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...

# 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 ,...

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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...