Mathematical modeling of DNA vibrational dynamics and its solitary wave solutions



Document title: Mathematical modeling of DNA vibrational dynamics and its solitary wave solutions
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000460980
ISSN: 0035-001X
Authors: 1
2
3
Institutions: 1Mohaghegh Ardabili University, Facultad de Ciencias, Ardabil. Irán
2Islamic Azad University, Ardabil. Irán
3Hebei University of Economics and Business, School of Mathematics and Statistics, Shijiazhuang, Hebei. China
4Beijing Institute of Technology, School of Mathematics and Statistics, Beijing. China
Year:
Season: Nov-Dic
Volumen: 64
Number: 6
Pages: 590-597
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract In this work, the traveling wave solutions of a mathematical modeling of DNA vibration dynamics proposed by Peyrard-Bishop, that takes into consideration the inclusion of nonlinear interaction between adjacent displacements along the Hydrogen bonds, is investigated by both (G'/G)-expansion and F-expansion methods. Using these methods, some new explicit forms of traveling wave solutions of present nonlinear equation are given. The methods come in to be easier and faster by means of a symbolic computation and yield powerful mathematical tools for solving nonlinear evolution equations in many branches of sciences, especially Physics, Biology, etc
Disciplines: Física y astronomía
Keyword: Física,
Método de expansión (G'=G),
Método de expansión F,
Dinámica generalizada de las vibraciones del ADN,
Soluciones de funciones hiperbólicas,
Trigonometric function solutions,
Soluciones de funciones trigonométricas,
Soluciones de onda solitaria
Keyword: Physics,
(G'=G)-expansion method,
F-expansion method,
Generalized DNA vibration dynamics,
Hyperbolic function solutions,
Trigonometric function solutions,
Solitary wave solutions
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