Communications in Nonlinear Science and Numerical Simulation, ( ISI ), Volume (49), No (1), Year (2017-8) , Pages (30-38)

Title : ( High energy density in the collision of N kinks in the φ4 model )

Authors: Aliakbar Moradi Marjaneh , D.Saadatmand , Kun Zhou , Sergy V. Dmitriev , Mohammad Ebrahim Zomorrodian ,

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Recently for the sine-Gordon equation it has been established that during collisions of N slow kinks maximal energy density increases as N 2 . In this numerical study, the same scaling rule is established for the non-integrable φ4 model for N ≤5. For odd (even) N the maximal energy density is in the form of potential (kinetic) energy density. Maximal elastic strain is also calculated. In addition, the effect of the kink’s internal modes on the maximal energy density is analysed for N = 1 , 2, and 3. Our results suggest that in multi- soliton collisions very high energy density can be achieved in a controllable manner.

Keywords

, Energy density, φ4 model, Kink’s internal
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@article{paperid:1063341,
author = {Moradi Marjaneh, Aliakbar and D.Saadatmand and Kun Zhou and Sergy V. Dmitriev and Zomorrodian, Mohammad Ebrahim},
title = {High energy density in the collision of N kinks in the φ4 model},
journal = {Communications in Nonlinear Science and Numerical Simulation},
year = {2017},
volume = {49},
number = {1},
month = {August},
issn = {1007-5704},
pages = {30--38},
numpages = {8},
keywords = {Energy density; φ4 model; Kink’s internal mode.},
}

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%0 Journal Article
%T High energy density in the collision of N kinks in the φ4 model
%A Moradi Marjaneh, Aliakbar
%A D.Saadatmand
%A Kun Zhou
%A Sergy V. Dmitriev
%A Zomorrodian, Mohammad Ebrahim
%J Communications in Nonlinear Science and Numerical Simulation
%@ 1007-5704
%D 2017

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