Two different sets of collective coordinate equations for solitary solutions
of Nonlinear Klein-Gordon (NKG) model is introduced. The collective coordinate
equations are derived using different approaches for adding the inhomogeneities
as exrernal potentials to the soliton equation of motion. Interaction of the
NKG field with a local inhomogeneity like a delta function potential wall and
also delta function potential well is investigated using the presented
collective coordinate equations and the results of two different models are
compared. Most of the characters of the interaction are derived analytically.
Analytical results are also compared with the results of numerical simulations.
Description
Collective coordinate analysis of inhomogeneous Nonlinear Klein-Gordon
field theory
%0 Generic
%1 Saadatmand2011
%A Saadatmand, Danial
%A Javidan, Kurosh
%D 2011
%K solitons
%T Collective coordinate analysis of inhomogeneous Nonlinear Klein-Gordon
field theory
%U http://arxiv.org/abs/1109.4922
%X Two different sets of collective coordinate equations for solitary solutions
of Nonlinear Klein-Gordon (NKG) model is introduced. The collective coordinate
equations are derived using different approaches for adding the inhomogeneities
as exrernal potentials to the soliton equation of motion. Interaction of the
NKG field with a local inhomogeneity like a delta function potential wall and
also delta function potential well is investigated using the presented
collective coordinate equations and the results of two different models are
compared. Most of the characters of the interaction are derived analytically.
Analytical results are also compared with the results of numerical simulations.
@misc{Saadatmand2011,
abstract = { Two different sets of collective coordinate equations for solitary solutions
of Nonlinear Klein-Gordon (NKG) model is introduced. The collective coordinate
equations are derived using different approaches for adding the inhomogeneities
as exrernal potentials to the soliton equation of motion. Interaction of the
NKG field with a local inhomogeneity like a delta function potential wall and
also delta function potential well is investigated using the presented
collective coordinate equations and the results of two different models are
compared. Most of the characters of the interaction are derived analytically.
Analytical results are also compared with the results of numerical simulations.
},
added-at = {2011-09-27T07:03:59.000+0200},
author = {Saadatmand, Danial and Javidan, Kurosh},
biburl = {https://www.bibsonomy.org/bibtex/22645e473f193b5895288ac2a45913abd/casvada},
description = {Collective coordinate analysis of inhomogeneous Nonlinear Klein-Gordon
field theory},
interhash = {9d9b5bd3bbe0da015f1a0a2ef3cd5f44},
intrahash = {2645e473f193b5895288ac2a45913abd},
keywords = {solitons},
note = {cite arxiv:1109.4922Comment: 16 pages, 8 figures},
timestamp = {2011-09-27T07:41:15.000+0200},
title = {Collective coordinate analysis of inhomogeneous Nonlinear Klein-Gordon
field theory},
url = {http://arxiv.org/abs/1109.4922},
year = 2011
}