The soliton dynamics is studied using the Frenkel Kontorova (FK) model with non-convex
interparticle interactions immersed in a parameterized on-site substrate potential. The case …

We present a uniform asymptotic expansion of the wobbling kink to any order in the
amplitude of the wobbling mode. The long-range behavior of the radiation is described by …

We study the nonlinear dynamics of a homogeneous DNA chain that is based on site-
dependent finite stacking and pairing enthalpies. We introduce an extended nonlinear …

In almost all works done up to now on proton dynamics in hydrogen-bonded systems, dipole–
dipole interactions have been overlooked. Here, we examine the role of these interactions …

The transport of energy and charge along one-dimensional chains of hydrogen bonds is an
extremely important problem in bioenergetic and solid-state situations. We present an …

A model of dynamics of protons in hydrogen-bonded quasi-one-dimensional networks was
derived, which is a singular system of the second kind with three parameters and two …

The motion of a particle in a one-dimensional deformable double-well potential is studied. In
a case study related deformable potential that permits theoretical adaptation of the model to …

Defect formation and transport in a hydrogen-bonded system is studied via a two-sublattice
soliton-bearing one-dimensional model. Our two component model completes and extends …

The proton conductivity and the mobility arising from motions of the ionic and bonded
defects, in hydrogen-bonded molecular systems are investigated by means of the quantum …

Les systèmes non linéaires sont décrits pour la plupart avec des équations aux dérivées
partiellesqui les caractérisent, comme la chaine de pendules couplés, la chaine de …