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...

Descripción completa

Detalles Bibliográficos
Autores principales: Wang, Gang wei, Xu, Tian zhou, Feng, Tao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3921151/
https://www.ncbi.nlm.nih.gov/pubmed/24523885
http://dx.doi.org/10.1371/journal.pone.0088336
_version_ 1782303273924952064
author Wang, Gang wei
Xu, Tian zhou
Feng, Tao
author_facet Wang, Gang wei
Xu, Tian zhou
Feng, Tao
author_sort Wang, Gang wei
collection PubMed
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 Online
Article
Text
id pubmed-3921151
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Public Library of Science
record_format MEDLINE/PubMed
spelling pubmed-39211512014-02-12 Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation Wang, Gang wei Xu, Tian zhou Feng, Tao PLoS One Research Article 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. Public Library of Science 2014-02-11 /pmc/articles/PMC3921151/ /pubmed/24523885 http://dx.doi.org/10.1371/journal.pone.0088336 Text en © 2014 Wang et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Wang, Gang wei
Xu, Tian zhou
Feng, Tao
Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation
title 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_short 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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3921151/
https://www.ncbi.nlm.nih.gov/pubmed/24523885
http://dx.doi.org/10.1371/journal.pone.0088336
work_keys_str_mv AT wanggangwei liesymmetryanalysisandexplicitsolutionsofthetimefractionalfifthorderkdvequation
AT xutianzhou liesymmetryanalysisandexplicitsolutionsofthetimefractionalfifthorderkdvequation
AT fengtao liesymmetryanalysisandexplicitsolutionsofthetimefractionalfifthorderkdvequation

Ejemplares similares