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.
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