Abstract
We study a three-coupled variable-coefficient nonlinear Schrodinger 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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