Abstract
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.
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Acknowledgments
This work was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. Y17F050046) and the National Natural Science Foundation of China (Grant No. 11375007). Dr. Chao-Qing Dai is also sponsored by the Foundation of New Century “151 Talent Engineering” of Zhejiang Province of China and Youth Top-notch Talent Development and Training Program of Zhejiang A&F University.
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Kong, LQ., Liu, J., Jin, DQ. et al. Soliton dynamics in the three-spine \(\alpha \)-helical protein with inhomogeneous effect. Nonlinear Dyn 87, 83–92 (2017). https://doi.org/10.1007/s11071-016-3027-3
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DOI: https://doi.org/10.1007/s11071-016-3027-3