High-order nonlinear excitations in the Joyeux-Buyukdagli model of DNA.
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.
College of Communication and Electronic Engineering, Hunan City University, Yiyang, 413000, China.
Ying-Bo
YB
Yao
College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou, 416000, Hunan, China.
Xiao-Yun
XY
Wang
College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou, 416000, Hunan, China. bingtangphy@jsu.edu.cn.
Bing
B
Tang
D004247:DNA / Q000737:chemistry* / Q000378:metabolism; D008958:Models, Molecular; D009068:Movement; D017711:Nonlinear Dynamics
D004247:DNA
DNA models; Discrete breathers; Envelope solitons; High-order solution