Articles
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
Electrospinning: a promising technology for discontinuous and continuous nanofibers, J. Polym. Eng., 28(2008),1-4 (2008)
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...
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...
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....
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...
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...
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...
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...
Non-ionic surfactants for enhancing electrospinability and for the preparation of electrospun nanofibers (with Shu-Qiang Wang and Lan Xu), Polymer International, Volume 57 Issue 9, Pages 1079 - 1082 (2008)
Abstract BACKGROUND: Electrospinning is widely used to produce nanofibers; however, not every polymer can be...
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...
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...
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...
Bubble electrospinning for mass production of nanofibers (with Yong LIu), INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION (2007)
A new bottom-up gas-jet electrospinning process for mass production is presented. A bubble-induced cone on...
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...
Electrospinning of high-molecule PEO solution (with Yu-Qin Wan, Jian-Yong Yu, and Yue Wu), Journal of Applied Polymer Science, Volume 103, Issue 6 , Pages 3840 - 3843 (2007)
Electrospinning is a simple but powerful method for making nanofibers that can then be collected...
Electrospinning: The big world of small fibers, POLYMER INTERNATIONAL Volume: 56 Issue: 11 Pages: 1321-1322 Published: NOV 2007 (2007)
Similar to the nuclear age, the so-called nanoage is coming, the growing gap between nano...
Mathematical models for continuous electrospun nanofibers and electrospun nanoporous microspheres (with Lan Xu, Yue Wu, and Yong Liu), POLYMER INTERNATIONAL Volume: 56 Issue: 11 Pages: 1323-1329 Published: NOV 2007 (2007)
Abstract: A brief review of mathematical models of electrospinning is given. The nano-effect and electrospinning...
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,...
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...
Variational approach for nonlinear oscillators, CHAOS SOLITONS & FRACTALS (2007)
We propose a novel variational approach for limit cycles of a kind of nonlinear oscillators....
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...
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...
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...
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...
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 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,...
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...
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...
Allometric Scaling and Instability in Electrospinning (with Yu-Qin Wan and Jian-Yong Yu), International Journal of Nonlinear Sciences and Numerical Simulation 5(3), 243-252, 2004 (2004)
The regulation of scale and bifurcation-like instability in electrospinning are intriguing and enduring problems after...
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...
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...
Books
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...
Contributions to Books
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...
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...
Popular Press
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...