Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2753

Full Length Research Paper

Many exact solutions for nonlinear dynamics of DNA model using the generalized Riccati equation mapping method

  Elsayed M. E. Zayed1* and Ahmed. H. Arnous2      
  1Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519, Zagazig, Egypt. 2Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Egypt.
Email: [email protected]

  •  Accepted: 19 February 2013
  •  Published: 28 February 2013

Abstract

 

The objective of this paper is to apply the generalized Riccati equation mapping method for constructing the exact traveling wave solutions of a nonlinear partial differential equation describing the dynamics of DNA modeling. This model consists of two long elastic homogeneous strands connected with each other by an elastic membrane. Hyperbolic and trigonometric function solutions of this model are obtained. Comparison between our new results and the well-known results are given.

 

Key words: Nonlinear dynamics of DNA model, generalized Riccati equation mapping method, exact traveling wave solutions, generalized Riccati equation.