Traveling wave solutions for wave equations with two exponential nonlinearities

"We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while whe...

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Detalles Bibliográficos
Autores: Stefan C. Mancas, Haret Codratian Rosu, MAXIMINO PEREZ MALDONADO
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:México
Institución:Instituto Potosino de Investigación Científica y Tecnológica
Repositorio:Repositorio Institucional del IPICYT
OAI Identifier:oai:ipicyt.repositorioinstitucional.mx:1010/2013
Acceso en línea:http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2013
Access Level:acceso embargado
Palabra clave:info:eu-repo/classification/Autor/Dodd-Bullough
info:eu-repo/classification/Autor/Dodd-Bullough-Mikhailov
info:eu-repo/classification/Autor/Liouville Equation
info:eu-repo/classification/Autor/sine-Gordon
info:eu-repo/classification/Autor/sinh-Gordon
info:eu-repo/classification/Autor/Tzitzéica
info:eu-repo/classification/Autor/Weierstrass Function
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
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spelling Traveling wave solutions for wave equations with two exponential nonlinearitiesStefan C. MancasHaret Codratian RosuMAXIMINO PEREZ MALDONADOinfo:eu-repo/classification/Autor/Dodd-Bulloughinfo:eu-repo/classification/Autor/Dodd-Bullough-Mikhailovinfo:eu-repo/classification/Autor/Liouville Equationinfo:eu-repo/classification/Autor/sine-Gordoninfo:eu-repo/classification/Autor/sinh-Gordoninfo:eu-repo/classification/Autor/Tzitzéicainfo:eu-repo/classification/Autor/Weierstrass Functioninfo:eu-repo/classification/cti/1info:eu-repo/classification/cti/22info:eu-repo/classification/cti/22"We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the basic travelling-wave solutions of Liouville, Tzitzéica, and their variants, as as well sine/sinh-Gordon equations with important applications in the phenomenology of nonlinear physics and dynamical systems are found through a detailed study of the corresponding elliptic equations."Walter de Gruyter GmbH2018info:eu-repo/date/embargoEnd/2019-12-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2013reponame:Repositorio Institucional del IPICYTinstname:Instituto Potosino de Investigación Científica y Tecnológicainstacron:IPICYTinfo:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1515/zna-2018-0055citation:Mancas, S., Rosu, H. & Pérez-Maldonado, M. (2018). Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities. Zeitschrift für Naturforschung A, 73(10), pp. 883-892. doi:10.1515/zna-2018-0055info:eu-repo/semantics/embargoedAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0oai:ipicyt.repositorioinstitucional.mx:1010/20132024-08-28T03:17:48Z
dc.title.none.fl_str_mv Traveling wave solutions for wave equations with two exponential nonlinearities
title Traveling wave solutions for wave equations with two exponential nonlinearities
spellingShingle Traveling wave solutions for wave equations with two exponential nonlinearities
Stefan C. Mancas
info:eu-repo/classification/Autor/Dodd-Bullough
info:eu-repo/classification/Autor/Dodd-Bullough-Mikhailov
info:eu-repo/classification/Autor/Liouville Equation
info:eu-repo/classification/Autor/sine-Gordon
info:eu-repo/classification/Autor/sinh-Gordon
info:eu-repo/classification/Autor/Tzitzéica
info:eu-repo/classification/Autor/Weierstrass Function
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/22
title_short Traveling wave solutions for wave equations with two exponential nonlinearities
title_full Traveling wave solutions for wave equations with two exponential nonlinearities
title_fullStr Traveling wave solutions for wave equations with two exponential nonlinearities
title_full_unstemmed Traveling wave solutions for wave equations with two exponential nonlinearities
title_sort Traveling wave solutions for wave equations with two exponential nonlinearities
dc.creator.none.fl_str_mv Stefan C. Mancas
Haret Codratian Rosu
MAXIMINO PEREZ MALDONADO
author Stefan C. Mancas
author_facet Stefan C. Mancas
Haret Codratian Rosu
MAXIMINO PEREZ MALDONADO
author_role author
author2 Haret Codratian Rosu
MAXIMINO PEREZ MALDONADO
author2_role author
author
dc.subject.none.fl_str_mv info:eu-repo/classification/Autor/Dodd-Bullough
info:eu-repo/classification/Autor/Dodd-Bullough-Mikhailov
info:eu-repo/classification/Autor/Liouville Equation
info:eu-repo/classification/Autor/sine-Gordon
info:eu-repo/classification/Autor/sinh-Gordon
info:eu-repo/classification/Autor/Tzitzéica
info:eu-repo/classification/Autor/Weierstrass Function
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/22
topic info:eu-repo/classification/Autor/Dodd-Bullough
info:eu-repo/classification/Autor/Dodd-Bullough-Mikhailov
info:eu-repo/classification/Autor/Liouville Equation
info:eu-repo/classification/Autor/sine-Gordon
info:eu-repo/classification/Autor/sinh-Gordon
info:eu-repo/classification/Autor/Tzitzéica
info:eu-repo/classification/Autor/Weierstrass Function
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/22
description "We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the basic travelling-wave solutions of Liouville, Tzitzéica, and their variants, as as well sine/sinh-Gordon equations with important applications in the phenomenology of nonlinear physics and dynamical systems are found through a detailed study of the corresponding elliptic equations."
publishDate 2018
dc.date.none.fl_str_mv 2018
info:eu-repo/date/embargoEnd/2019-12-31
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2013
url http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2013
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1515/zna-2018-0055
citation:Mancas, S., Rosu, H. & Pérez-Maldonado, M. (2018). Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities. Zeitschrift für Naturforschung A, 73(10), pp. 883-892. doi:10.1515/zna-2018-0055
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv embargoedAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Walter de Gruyter GmbH
publisher.none.fl_str_mv Walter de Gruyter GmbH
dc.source.none.fl_str_mv reponame:Repositorio Institucional del IPICYT
instname:Instituto Potosino de Investigación Científica y Tecnológica
instacron:IPICYT
instname_str Instituto Potosino de Investigación Científica y Tecnológica
instacron_str IPICYT
institution IPICYT
reponame_str Repositorio Institucional del IPICYT
collection Repositorio Institucional del IPICYT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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