Soliton perturbation theory for the generalized klein-gordon equation with full nonlinearity

Anjan Biswas; Ahmet Yildirim; T. Hayat; Omar M. Aldossary; Ryan Sassaman

Soliton perturbation theory for the generalized klein-gordon equation with full nonlinearity

Anjan Biswas
, Ahmet Yildirim
, T. Hayat
, Omar M. Aldossary
, Ryan Sassaman

Delaware State University
Ege University
University of South Florida
Qaid-i-Azam University
King Saud University

Research output: Contribution to journal › Article › peer-review

72 Scopus citations

Abstract

This paper studies the perturbation theory of the generalized Klein-Gordon equation in presence of perturbation terms that appear with full nonlinearity. There are five forms of nonlinearity that are considered for the Klein-Gordon equation. It is observed that all five forms of nonlinearity lead to the same structure of the adiabatic dynamics of the soliton velocity.

Original language	English
Pages (from-to)	32-41
Number of pages	10
Journal	Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science
Volume	13
Issue number	1
State	Published - Jan 2012
Externally published	Yes

Keywords

Adiabaticity
Perturbation
Solitons

Cite this

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title = "Soliton perturbation theory for the generalized klein-gordon equation with full nonlinearity",

abstract = "This paper studies the perturbation theory of the generalized Klein-Gordon equation in presence of perturbation terms that appear with full nonlinearity. There are five forms of nonlinearity that are considered for the Klein-Gordon equation. It is observed that all five forms of nonlinearity lead to the same structure of the adiabatic dynamics of the soliton velocity.",

keywords = "Adiabaticity, Perturbation, Solitons",

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volume = "13",

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AU - Biswas, Anjan

AU - Yildirim, Ahmet

AU - Hayat, T.

AU - Aldossary, Omar M.

AU - Sassaman, Ryan

PY - 2012/1

Y1 - 2012/1

N2 - This paper studies the perturbation theory of the generalized Klein-Gordon equation in presence of perturbation terms that appear with full nonlinearity. There are five forms of nonlinearity that are considered for the Klein-Gordon equation. It is observed that all five forms of nonlinearity lead to the same structure of the adiabatic dynamics of the soliton velocity.

AB - This paper studies the perturbation theory of the generalized Klein-Gordon equation in presence of perturbation terms that appear with full nonlinearity. There are five forms of nonlinearity that are considered for the Klein-Gordon equation. It is observed that all five forms of nonlinearity lead to the same structure of the adiabatic dynamics of the soliton velocity.

KW - Adiabaticity

KW - Perturbation

KW - Solitons

UR - https://www.scopus.com/pages/publications/84871125978

M3 - Article

AN - SCOPUS:84871125978

SN - 1454-9069

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EP - 41

JO - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

JF - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

IS - 1

ER -

Soliton perturbation theory for the generalized klein-gordon equation with full nonlinearity

Abstract

Keywords

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