Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA

Elsayed M. E. Zayed; Ahmed H. Arnous

doi:10.4208/jpde.v26.n4.5

Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA

Authors

Elsayed M. E. Zayed Department of Mathematics, Faculty of Sciences, Zagazig University, Zagazig, Egypt
Ahmed H. Arnous Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Egypt

DOI:

https://doi.org/10.4208/jpde.v26.n4.5

Keywords:

Nonlinear dynamics of DNA model;exact solutions;improved generalized Riccati equation mapping method;double-chain model of DNA

Abstract

The objective of this paper is to apply the improved generalized Riccati equation mapping method to find many families of exact traveling wave solutions for the general nonlinear dynamic system in a new double-chain model of DNA. 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 results and the well-known results are given.

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Published

2020-05-12

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Issue

Vol. 26 No. 4 (2013)

Section

Articles

How to Cite

Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA. (2020). Journal of Partial Differential Equations, 26(4), 373-384. https://doi.org/10.4208/jpde.v26.n4.5