45 citations · 85 across the 4 of their papers we have counts for
6 papers · 1 filter
Deformation of sine-Gordon two-soliton solutions in kink-antikink configurations
Aliakbar Moradi Marjaneh, Danial Saadatmand, Fabiano C. Simas +2
In this work, we construct analytical kink-antikink configurations in the non-integrable model by mapping exact solutions of the integrable sine-Gordon system vi…
A resonance in phonons scattering off a kink in the absence of a Peierls-Nabarro potential
Danial Saadatmand, Arpine Piloyan, David Amundsen +1
We investigate the interaction of small-amplitude waves called phonons, with an initially static kink in an exceptional discretization of the model that is free of the Peierl…
Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential
Danial Saadatmand, Aliakbar Moradi Marjaneh, Alidad Askari +1
We analyze the interaction of lattice vibrations (phonon wave-packets) with an asymmetric kink soliton initially at rest. We employ the model in one space and one time dimens…
Collision of kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness
Alidad Askari, Aliakbar Moradi Marjaneh, Zhanna G. Rakhmatullina +5
The two major effects observed in collisions of the continuum kinks are (i) the existence of critical collision velocity above which the kinks always emerge from the collisio…
Mass transfer in Frenkel-Kontorova chain initiated by molecule impact
A. Moradi Marjaneh, D. Saadatmand, I. Evazzade +6
The Frenkel-Kontorova chain with a free end is used to study initiation and propagation of crowdions (anti-kinks) caused by impact of a molecule consisting of K atoms. It is found…
Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions
Aliakbar Moradi Marjaneh, Alidad Askari, Danial Saadatmand +1
In our recent study the maximal values of kinetic and potential energy densities that can be achieved in the collisions of slow kinks in the sine-Gordon model were calculated a…