کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
785506 | 1465309 | 2016 | 7 صفحه PDF | دانلود رایگان |
• Traveling soliton like solutions in nonlinear physics.
• Transmitting information with the aid of soliton like structures in DNA.
• Generalized coherent state approach for quasi spin Hamiltonians.
The internal dynamics of the DNA base pairs is studied starting from the generalized coupled plane base-rotator model of DNA, obtained by Yomosa and later improved by Takeno and Homma. We conceive the double-stranded DNA as an anisotropically coupled spin chain simple model. The generalized Hamiltonian expressed in terms of quasi-spin operators is averaged over the generalized coherent states in the Perelomov sense, in order to obtain the classical non-linear evolution equations of this molecular system where the inhomogeneity has not been considered. This approach provides the equations of motion, which could be reduced to a nonlinear Schrödinger equation with a saturable nonlinearity. This non-linear equation, under certain restrictions in the parametric space, supports traveling periodic triangular, bell, bubble and kink like solutions.
Journal: International Journal of Non-Linear Mechanics - Volume 86, November 2016, Pages 8–14