Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations

In this paper, symmetries and symmetry reduction of two higher-dimensional nonlinear evolution equations (NLEEs) are obtained by Lie group method. These NLEEs play an important role in nonlinear sciences. We derive exact solutions to these NLEEs via the [Formula: see text] -expansion method and comp...

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Detalles Bibliográficos
Autores principales: Gu, Yongyi, Qi, Jianming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5740214/
https://www.ncbi.nlm.nih.gov/pubmed/29299018
http://dx.doi.org/10.1186/s13660-017-1587-5
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author Gu, Yongyi
Qi, Jianming
author_facet Gu, Yongyi
Qi, Jianming
author_sort Gu, Yongyi
collection PubMed
description In this paper, symmetries and symmetry reduction of two higher-dimensional nonlinear evolution equations (NLEEs) are obtained by Lie group method. These NLEEs play an important role in nonlinear sciences. We derive exact solutions to these NLEEs via the [Formula: see text] -expansion method and complex method. Five types of explicit function solutions are constructed, which are rational, exponential, trigonometric, hyperbolic and elliptic function solutions of the variables in the considered equations.
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spelling pubmed-57402142018-01-01 Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations Gu, Yongyi Qi, Jianming J Inequal Appl Research In this paper, symmetries and symmetry reduction of two higher-dimensional nonlinear evolution equations (NLEEs) are obtained by Lie group method. These NLEEs play an important role in nonlinear sciences. We derive exact solutions to these NLEEs via the [Formula: see text] -expansion method and complex method. Five types of explicit function solutions are constructed, which are rational, exponential, trigonometric, hyperbolic and elliptic function solutions of the variables in the considered equations. Springer International Publishing 2017-12-21 2017 /pmc/articles/PMC5740214/ /pubmed/29299018 http://dx.doi.org/10.1186/s13660-017-1587-5 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Gu, Yongyi
Qi, Jianming
Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
title Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
title_full Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
title_fullStr Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
title_full_unstemmed Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
title_short Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
title_sort symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5740214/
https://www.ncbi.nlm.nih.gov/pubmed/29299018
http://dx.doi.org/10.1186/s13660-017-1587-5
work_keys_str_mv AT guyongyi symmetryreductionandexactsolutionsoftwohigherdimensionalnonlinearevolutionequations
AT qijianming symmetryreductionandexactsolutionsoftwohigherdimensionalnonlinearevolutionequations

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