Nonlinear dynamics of DNA – Riccati generalized solitary wave solutions

The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

“…It has been shown that the nonlinearity is responsible for forming localized waves. These localized waves are interesting because they have the capability to transport energy without dissipation [30]- [38]. In Ref.…”

On The Features Solitary Wave Solutions for the DoubleStructures Model of DNA

“…Since the structure of DNA double helix has been discovered by Watson and Crick in 1953 [2]. Many researchers, especially ones in theoretical physics and nonlinear dynamics and also triggered the formulation of several simple models of nonlinear DNA dynamics corresponding to geometric structure, namely, the DNA double-stranded [3][4][5][6][7][8][9][10][11][12][13][14] or the double helix [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. These models had been developed during the past decade to describe the nonlinear dynamics properties of open base-pairs in DNA, which commonly called denaturation bubbles [29].…”

“…Further, we estimates of the geometrical and dynamical parameters is used to discuss the dynamics features of each double-stranded wave motions. [3,11,12].…”

Exact Solutions for the Nonlinear PDE Describing the Model of DNA Double Helices using the Improved (G′/G)- Expansion Method

“…The DNA molecule encodes the information that organisms need to live and reproduce themselves. The DNA structure has been studied last decades (see for example [22][23][24][25][26][27][28][29][30][31][32]). The discovery of the double-helix structure of the DNA molecule has been established a strong relationship between its structure and function.…”