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

Emad H. M. Zahran

Department of Mathematical and Physical Engineering, College of Engineering, Shubra University of Benha, Egypt.

DOI: 10.4236/anp.2015.42004                

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.

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

Conflicts of Interest

The authors declare no conflicts of interest.

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