We study a three-coupled variable-coefficient nonlinear Schrödinger equation, which
describes soliton dynamics in the three-spine α α-helical protein with inhomogeneous effect …

We analytically investigate the conditions for the wave instability in a reaction-diffusion
system describing the nonlinear dynamics of the myristoylated alanine-rich C kinase …

The influence of next-nearest-neighbor interactions (next-NNI) of dipole–dipole type is
analyzed in Davydov model with saturable nonlinearities. We analytically study the regions …

With consideration of the molecular structure containing three hydrogen spines and the
existence of the protein inhomogeneity, the bioenergy transport mechanism in the α-helical …

We study the dynamics of solitary waves in α-helical proteins going beyond the standard
nearest-neighbour interaction by taking into account influence long-range dipole-dipole …

In this paper, we study the effects of mass inhomogeneities on the energy transfer by
solitons in alpha-helical proteins. We demonstrate that such a system is governed by a …

The inhomogeneous fourth-order nonlinear Schrödinger equation is investigated, which
models the transport of energy along the inhomogeneous hydrogen bonding spines in alpha …

Multi-soliton solutions of the three-coupled nonlinear Schrödinger equations, which describe
the bioenergy transport mechanism in the three-spine α-helical protein, are analytically …

Using a mathematical spin-like model of DNA molecule, we have studied its dynamics, by
taking into account forces due to the surrounding medium. Thus, we have shown the …

We consider the features of the dynamics of the wave-packet self-action within the
framework of a model described by the one-dimensional discrete nonlinear Schrödinger …