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Nonlinear dynamics of DNA – Riccati generalized solitary wave solutions. (English) Zbl 1241.35205

Summary: We study the nonlinear dynamics of DNA, for longitudinal and transverse motions, in the framework of the microscopic model of M. Peyrard and A. R. Bishop [in: Nonlinear coherent structures, Proc. 6th Interdisciplinary Workshop, Montpellier/Fr, 1989. Lect. Notes Phys. 353, 29–41 (1990; Zbl 0732.92004)]. The coupled nonlinear partial differential equations for dynamics of DNA model, which consists of two long elastic homogeneous strands connected with each other by an elastic membrane, have been solved for solitary wave solution which is further generalized using Riccati parameterized factorization method.

MSC:

35Q92 PDEs in connection with biology, chemistry and other natural sciences
35L75 Higher-order nonlinear hyperbolic equations
35C08 Soliton solutions
74B20 Nonlinear elasticity
92D20 Protein sequences, DNA sequences

Citations:

Zbl 0732.92004
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References:

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