Zahran E.H.M. and Khater, M.M.A. (2014) The Modified Simple Equation Method and Its Applications for Solving Some Nonlinear Evolutions Equations in Mathematical Physics. Jokull Journal, 64.

has been cited by the following article:

• TITLE: Exact Traveling Wave Solutions of Nano-Ionic Solitons and Nano-Ionic Current of MTs Using the exp(-φ (ξ ))-Expansion Method

  AUTHORS: Emad H. M. Zahran

  KEYWORDS: The exp(-φ (ξ )) -Expansion Method, Nano-Solitons of Ionic Wave’s Propagation along Microtubules in Living Cells, Nano-Ionic Currents of MTs, Traveling Wave Solutions, Kink and Anti Kink Wave Solutions

  JOURNAL NAME: Advances in Nanoparticles, Vol.4 No.2, April 22, 2015

  ABSTRACT: In this work, the exp(-φ (ξ )) -expansion method is used for the first time to investigate the exact traveling wave solutions involving parameters of nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. The validity and reliability of the method are tested by its applications to Nano-ionic solitons wave’s propagation along microtubules in living cells and Nano-ionic currents of MTs which play an important role in biology.