Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.

Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.

In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed. In the sense of point symmetry, all of the vector fie...

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Autores principales: Gang Wei Wang, Tian Zhou Xu, Tao Feng
Formato: article
Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2014
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Medicine
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Acceso en línea:https://doaj.org/article/2a4e6f1febe449068cda9935157e68aa
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spelling oai:doaj.org-article:2a4e6f1febe449068cda9935157e68aa2021-11-18T08:33:00ZLie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.1932-620310.1371/journal.pone.0088336https://doaj.org/article/2a4e6f1febe449068cda9935157e68aa2014-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/24523885/?tool=EBIhttps://doaj.org/toc/1932-6203In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed. In the sense of point symmetry, all of the vector fields and the symmetry reductions of the fractional fifth-order KdV equation are obtained. At last, by virtue of the sub-equation method, some exact solutions to the fractional fifth-order KdV equation are provided.Gang Wei WangTian Zhou XuTao FengPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 9, Iss 2, p e88336 (2014)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Gang Wei Wang
Tian Zhou Xu
Tao Feng
Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
description In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed. In the sense of point symmetry, all of the vector fields and the symmetry reductions of the fractional fifth-order KdV equation are obtained. At last, by virtue of the sub-equation method, some exact solutions to the fractional fifth-order KdV equation are provided.
format article
author Gang Wei Wang
Tian Zhou Xu
Tao Feng
author_facet Gang Wei Wang
Tian Zhou Xu
Tao Feng
author_sort Gang Wei Wang
title Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
title_short Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
title_full Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
title_fullStr Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
title_full_unstemmed Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
title_sort lie symmetry analysis and explicit solutions of the time fractional fifth-order kdv equation.
publisher Public Library of Science (PLoS)
publishDate 2014
url https://doaj.org/article/2a4e6f1febe449068cda9935157e68aa
work_keys_str_mv AT gangweiwang liesymmetryanalysisandexplicitsolutionsofthetimefractionalfifthorderkdvequation
AT tianzhouxu liesymmetryanalysisandexplicitsolutionsofthetimefractionalfifthorderkdvequation
AT taofeng liesymmetryanalysisandexplicitsolutionsofthetimefractionalfifthorderkdvequation
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