77 citations · 290 across the 14 of their papers we have counts for
9 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…
Nonlinear Dynamics of Kink Configurations: From Small to Large Kink Collisions
Aliakbar Moradi Marjaneh, Dionisio Bazeia
This study explores the scattering dynamics of kinks within a nonlinear system governed by a parameterized potential , examining the distinct behaviors of small and large k…
Connections between kinks with different asymptotics
Vakhid A. Gani, Aliakbar Moradi Marjaneh
In this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kin…
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…
Scattering of the asymmetric kinks from a -symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons
Danial Saadatmand, Aliakbar Moradi Marjaneh
Interaction of asymmetric kinks with a spatially localized -symmetric perturbation is investigated numerically. It has been shown that when the kink (antikink)…
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…
High energy density in the collision of kinks in the model
Aliakbar M. Marjaneh, Danial Saadatmand, Kun Zhou +2
Recently for the sine-Gordon equation it has been established that during collisions of slow kinks maximal energy density increases as . In this numerical study, the same…