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Ouyang, Zheng-yong; Zheng, Shan

Travelling wave solutions of nonlinear dynamical equations in a double-chain model of DNA. (English) Zbl 1468.35091

Abstr. Appl. Anal. 2014, Article ID 317543, 5 p. (2014).
Summary: We consider the nonlinear dynamics in a double-chain model of DNA which consists of two long elastic homogeneous strands connected with each other by an elastic membrane. By using the method of dynamical systems, the bounded traveling wave solutions such as bell-shaped solitary waves and periodic waves for the coupled nonlinear dynamical equations of DNA model are obtained and simulated numerically. For the same wave speed, bell-shaped solitary waves of different heights are found to coexist.

Cited in 3 Documents

MSC:

35L51 Second-order hyperbolic systems
35C07 Traveling wave solutions
35L71 Second-order semilinear hyperbolic equations
35Q92 PDEs in connection with biology, chemistry and other natural sciences
92D20 Protein sequences, DNA sequences
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\textit{Z.-y. Ouyang} and \textit{S. Zheng}, Abstr. Appl. Anal. 2014, Article ID 317543, 5 p. (2014; Zbl 1468.35091)
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References:

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