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Nonlinear science as a fluctuating research frontier

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  • He, Ji-Huan

Abstract

Nonlinear science has had quite a triumph in all conceivable applications in science and technology, especially in high energy physics and nanotechnology. COBE, which was awarded the physics Nobel Prize in 2006, might be probably more related to nonlinear science than the Big Bang theory. Five categories of nonlinear subjects in research frontier are pointed out.

Suggested Citation

  • He, Ji-Huan, 2009. "Nonlinear science as a fluctuating research frontier," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2533-2537.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2533-2537
    DOI: 10.1016/j.chaos.2008.09.027
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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    2. He, Ji-Huan, 2009. "A generalized poincaré-invariant action with possible application in strings and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1667-1670.
    3. He, Ji-Huan, 2007. "E-Infinity theory and the Higgs field," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 782-786.
    4. Tanaka, Yosuke, 2006. "The mass spectrum of hadrons and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 851-863.
    5. El Naschie, M.S., 2007. "From pointillism to E-infinity electromagnetism," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1377-1381.
    6. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    7. Momani, Shaher & Odibat, Zaid, 2007. "Numerical comparison of methods for solving linear differential equations of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1248-1255.
    8. Tanaka, Yosuke, 2006. "Elementary particle mass, subquark model and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 290-305.
    9. Mukhamedov, Alfred M., 2006. "Dynamic paradigm of turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 278-289.
    10. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    11. He, Ji-Huan, 2006. "Application of E-infinity theory to biology," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 285-289.
    12. He, Ji-Huan & Liu, Yong & Xu, Lan & Yu, Jian-Yong, 2007. "Micro sphere with nanoporosity by electrospinning," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1096-1100.
    13. He, Ji-Huan, 2007. "The number of elementary particles in a fractal M-theory of 11.2360667977 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 346-351.
    14. He, Ji-Huan & Huang, Zhende, 2006. "A novel model for allometric scaling laws for different organs," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1108-1114.
    15. El Naschie, M.S., 2007. "Feigenbaum scenario for turbulence and Cantorian E-infinity theory of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 911-915.
    16. Sweilam, N.H. & Khader, M.M., 2007. "Variational iteration method for one dimensional nonlinear thermoelasticity," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 145-149.
    17. He, Ji-Huan & Xu, Lan & Zhang, Li-Na & Wu, Xu-Hong, 2007. "Twenty-six dimensional polytope and high energy spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 5-13.
    18. He, Ji-Huan & Abdou, M.A., 2007. "New periodic solutions for nonlinear evolution equations using Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1421-1429.
    19. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
    20. El Naschie, M. Saladin, 2006. "Nanotechnology for the developing world," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 769-773.
    21. He, Ji-Huan, 2007. "On the number of elementary particles in a resolution dependent fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1645-1648.
    22. El Naschie, M.S., 2006. "Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 297-330.
    23. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    24. He, Ji-Huan & Xu, Lan, 2009. "Number of elementary particles using exceptional Lie symmetry groups hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2119-2124.
    25. He, Ji-Huan & Wan, Yu-Qin & Xu, Lan, 2007. "Nano-effects, quantum-like properties in electrospun nanofibers," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 26-37.
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