The study and the investigation of structural and dynamical properties of complex systems
have attracted considerable interest among scientists in general and physicists and …

A nonlinear model describing DNA dynamics, called helicoidal Peyrard–Bishop model, is
described. It is shown that the model can explain a local opening of a DNA helix during …

Based on the Lax representation, we solve the three coupled higher order nonlinear
Schrödinger equations with the achievement of N-soliton solution formula, by means of …

The purpose of this work is to describe theoretically the behavior of modulated pulses in
nonlinear birefringent optical waveguides and particularly in the optical fibers, by taking into …

In this Letter we study possible intervals for some parameters existing in the Peyrard–Bishop–
Dauxois (PBD) model for the DNA dynamics. These parameters describe longitudinal and …

In this paper, we investigate the periodic solutions and Whitham modulation theory for the
fifth-order nonlinear Schrödinger equation, which can describe the one-dimensional …

In the present paper, we study nonlinear dynamics of microtubules (MTs). As an analytical
method, we use semi-discrete approximation and show that localized modulated solitonic …

We study the nonlinear dynamics of DNA which takes into account the twist-opening
interactions due to the helicoidal molecular geometry. The small amplitude dynamics of the …

The classical Lagrangian formulation for the nonlinear dynamics of a homogeneous Peyrard–
Bishop DNA molecular chain is reviewed and extended to include coordinates with time …

We here study nonlinear dynamics of microtubule (MT). A so-called u-model is explained in
detail. A single longitudinal degree of freedom per MT subunits is assumed. It is known that …