American Journal of Physics and Applications

Volume 3, Issue 5, September 2015

  • Analytical Solutions of Undamped and Autonomous Cubic-Quintic Duffing Equation

    Serge Bruno Yamgoué, Jules Hilaire Kamga

    Issue: Volume 3, Issue 5, September 2015
    Pages: 159-165
    Received: Jul. 08, 2015
    Accepted: Jul. 16, 2015
    Published: Jul. 25, 2015
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    Abstract: In this paper, based on a combination of homogenous balance and the rational expansion method, the exact analytical and closed-form solutions of the Duffing equation with cubic and quintic nonlinearities are derived. We focus on heteroclinic and homoclinic solutions which are relevant for the prediction of chaos in forced mechanical systems. The co... Show More
  • Einstein: Unification Theory and Unification of Basic Forces-II

    M. Tajuddin, Md. Haider Ali Biswas

    Issue: Volume 3, Issue 5, September 2015
    Pages: 166-177
    Received: Jul. 15, 2015
    Accepted: Jul. 27, 2015
    Published: Aug. 14, 2015
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    Abstract: Unification theory is ‘a complete unified theory that will describe everything in the universe’ (Hawking, 1996). Unification theory is expressed through spherical geometry and ‘all dimensional geometry is included in spherical geometry. Thus spherical geometry in the form of unification theory describes all the laws of the universe’ (Tajuddin and B... Show More
  • The Unification of Mass and Energy

    Edwin Zong

    Issue: Volume 3, Issue 5, September 2015
    Pages: 178-182
    Received: Jul. 23, 2015
    Accepted: Aug. 03, 2015
    Published: Aug. 14, 2015
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    Abstract: Our universe is an amazing place where matter floats. The endless stories about changing of mass or energy in the universe may overwhelm all tabloid writers. However, Einstein found a very simple way to cover all the stories in “One” equation: E=MC2. Yes, the “C” actually stands for speed of light (photon) in the vacuum. Few will argue photons are ... Show More