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High-order nonlinear excitations in the Joyeux-Buyukdagli model of DNA

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Abstract

By means of the semidiscrete multiple-scale method, we study the existence and properties of high-order envelope solitons and discrete breathers in a homogeneous DNA chain model that is based on pairing enthalpies and site-dependent finite stacking. We obtain the analytical solutions for an envelope soliton, and find that at the Brillouin zone center, discrete breather solutions can appear below the bottom of the phonon band. The behavior of two solitons in collisions and the stability of discrete breathers are confirmed by numerical simulations of the exact equations of the system.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11264012 and 11564013.

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Authors and Affiliations

  1. College of Communication and Electronic Engineering, Hunan City University, Yiyang, 413000, China

    Ying-Bo Yao

  2. College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou, 416000, Hunan, China

    Xiao-Yun Wang & Bing Tang

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  1. Ying-Bo Yao
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  2. Xiao-Yun Wang
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  3. Bing Tang
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Correspondence to Bing Tang.

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Yao, YB., Wang, XY. & Tang, B. High-order nonlinear excitations in the Joyeux-Buyukdagli model of DNA. J Biol Phys 42, 213–222 (2016). https://doi.org/10.1007/s10867-015-9402-3

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  • DOI: https://doi.org/10.1007/s10867-015-9402-3

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