International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 7, No. 1, 2006

CONTENTS

Thomas Mann and Heinrich Mann, Dual Brothers and Complimentary Genius Embraced by Complex Reality

M. S. El Naschie ....................1

Thin Film Flow of a Third Grade Fluid on a Moving Belt by He’s Homotopy Perturbation Method

A. M. Siddiqui, R. Mahmood , Q. K. Ghori ................7

Couette and Poiseuille Flows for Non-Newtonian Fluids

A. M. Siddiqui, M. Ahmed,  Q. K.  Ghori .....................15

Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order

Z. M. Odibat, S. Momani.....................27

Computation of Normal Forms for Eight-Dimensional Nonlinear Dynamical System and Application to a Viscoelastic Moving Belt

W. Zhang, Y. Chen and D. Cao .....................35

Bursting Oscillations near Codimension-Two Bifurcations in the Chay Neuron Model

L. Duan and Q. Lu .......................59

The Use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for Solving Different Types of Nonlinear Partial Differential Equations

N. Bildik, A.Konuralp ..................65

Numerical Analysis of the Shaped Charged Jet with Large Cone Angle

J.-G. Ning, C. Wang, T.-B. Ma ......................71

Transversal Vibration of a Parametrically Excited Beam: Influence of Rotatory Inertia and Transverse Shear on Stochastic Stability of Deformable Forms and Processes

K. (Stevanović) Hedrih .................79

The Notion of Time from Big-Bang up to Date (From Nature to Man : A Temporal Perspective)

F. Saleh, H. Barakat ..................87

Linderhof Room of Mirrors, Thurston Three-manifolds and the Geometry  of our Universe

M.S. El Naschie ..................97

The Missing Particles of the Standard Model via a Unified Particle-field Framework

M.S. El Naschie .................101

Modeling and Simulating of a Mobile Decision Process

D. Li, J. Zhou, J. Wang ..................105

Approximate Period Solution for a Kind of Nonlinear Oscillator by He’s Perturbation Method

X.-C. Cai, W.-Y. Wu, M.-S. Li ..................109

A Fractal Approach to Goose Down Structure

J. Gao, N. Pan , W. Yu ..................113

Mathematical Model of Reaction for Reactive Dyes Containing Fluorotriazine

K. Xie, G. Song, A. Hou, Y. Liu .............................117