New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000200225 |
Resumo: | ABSTRACT In this paper, we use the new fractional complex transform and the sub-equation method to study the nonlinear fractional differential equations and find the exact solutions. These solitary wave solutions demonstrate the fact that solutions to the perturbed nonlinear Schrodinger equation with power law nonlinearity model can exhibit a variety of behaviors. |
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New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional DerivativeTime-fractional Burgers equationFractional calculussub-equation methodABSTRACT In this paper, we use the new fractional complex transform and the sub-equation method to study the nonlinear fractional differential equations and find the exact solutions. These solitary wave solutions demonstrate the fact that solutions to the perturbed nonlinear Schrodinger equation with power law nonlinearity model can exhibit a variety of behaviors.Sociedade Brasileira de Matemática Aplicada e Computacional2017-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000200225TEMA (São Carlos) v.18 n.2 2017reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2017.018.02.0225info:eu-repo/semantics/openAccessNEIRAMEH,A.eng2017-09-14T00:00:00Zoai:scielo:S2179-84512017000200225Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2017-09-14T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse |
dc.title.none.fl_str_mv |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative |
title |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative |
spellingShingle |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative NEIRAMEH,A. Time-fractional Burgers equation Fractional calculus sub-equation method |
title_short |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative |
title_full |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative |
title_fullStr |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative |
title_full_unstemmed |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative |
title_sort |
New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative |
author |
NEIRAMEH,A. |
author_facet |
NEIRAMEH,A. |
author_role |
author |
dc.contributor.author.fl_str_mv |
NEIRAMEH,A. |
dc.subject.por.fl_str_mv |
Time-fractional Burgers equation Fractional calculus sub-equation method |
topic |
Time-fractional Burgers equation Fractional calculus sub-equation method |
description |
ABSTRACT In this paper, we use the new fractional complex transform and the sub-equation method to study the nonlinear fractional differential equations and find the exact solutions. These solitary wave solutions demonstrate the fact that solutions to the perturbed nonlinear Schrodinger equation with power law nonlinearity model can exhibit a variety of behaviors. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-08-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000200225 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000200225 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.5540/tema.2017.018.02.0225 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
TEMA (São Carlos) v.18 n.2 2017 reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) instname:Sociedade Brasileira de Matemática Aplicada e Computacional instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional |
instacron_str |
SBMAC |
institution |
SBMAC |
reponame_str |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
collection |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
repository.name.fl_str_mv |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional |
repository.mail.fl_str_mv |
castelo@icmc.usp.br |
_version_ |
1752122220214222848 |