Soliton Dynamics in Three Coupled Molecular Chains

The dynamics of three coupled α-polypeptide chains of a collagen molecule is investigated with the influence of power-law long-range exciton-exciton interactions. The continuum limit of the discrete equations reveal that the collagen dynamics is governed by a set of three coupled nonlinear Schrödinger equations, whose dispersive coefficient depends on the LRI parameter r. We construct the analytic symmetric and asymmetric (antisymmetric) soliton solutions, which match with the structural features of collagen related with the acupuncture channels. These solutions are used as initial conditions for the numerical simulations of the discrete equations, which reveal a coherent transport of energy in the molecule for r > 3. The results also indicate that the width of the solitons is a decreasing function of r, which help to stabilize the solitons propagating in the molecule. To confirm further the efficiency of energy transport in the molecule, the modulational instability of the system is performed and the numerical simulations show that the energy can flow from one polypeptide chain to another in the form of nonlinear waves.

show abstract

“…Using Eq. (20), the set of nonlinear partial differential equations Eq. (18) reduces to the following set of three real differential equations:…”

Section: Stationary Localized Solutions and Lri Effectmentioning

confidence: 99%

Energy transport in the three coupled α-polypeptide chains of collagen molecule with long-range interactions effect

Mvogo

Ben-Bolie

Kofané

2015

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

show abstract

“…Another interesting topic of research with practical importance is the propagation of solitons in coupled parallel chains [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Soliton dynamics in two coupled ferromagnetic chains

Varbev

Primatarowa

Kamburova

2017

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. The soliton dynamics in a system of two ferromagnetic chains coupled through the interaction between opposite spins is studied. The on-site anisotropy in the chains is also taken into account. The conditions for the existence of different soliton solutions (bright or dark) in the chains are obtained. The system is reduced to a coupled set of discrete equations with complicated coupling interactions which are linear and nonlinear. We investigate the propagation of a soliton excitation launched in one of the chains with a given velocity. The condition for a perfect switch of the soliton is analysed. Numerical simulations have been performed for a variety of the magnetic parameters and the soliton characteristics.

show abstract