Soliton dynamics in the three-spine \(\alpha \) -helical protein with inhomogeneous effect

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• 作者：Liang-Qian Kong ; Jiu Liu ; Di-Qing Jin ; Da-Jiang Ding ; Chao-Qing Dai
• 关键词：Three ; coupled nonlinear Schrödinger equation ; Multi ; soliton ; Three ; spine \(\alpha \) ; helical protein ; Inhomogeneous effect
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：87
• 期：1
• 页码：83-92
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

We study a three-coupled variable-coefficient nonlinear Schrödinger equation, which describes soliton dynamics in the three-spine \(\alpha \)-helical protein with inhomogeneous effect, and analytically obtain multi-soliton solutions, whose formation originates from the dynamical balance between the dispersion owing to the resonant interaction of intrapeptide dipole vibrations and the nonlinear interaction provided by those vibrations with the local displacements of the peptide groups. Using these analytical solutions as initial solutions, we discuss the dynamical behaviors of solitonic interactions and the influence of the protein inhomogeneity on shape-changing collisions of solitons by direct numerical simulations.