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

Abstract 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 exp ( − ϕ ( z ) ) $\exp(-\phi (z))$ -...

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Main Authors:	Yongyi Gu, Jianming Qi
Format:	Article
Language:	English
Published:	SpringerOpen 2017-12-01
Series:	Journal of Inequalities and Applications
Subjects:	nonlinear evolution equations symmetry exp ( − ϕ ( z ) ) $\exp(-\phi(z))$ -expansion method complex method exact solutions meromorphic function
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1587-5

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spelling	doaj-b1d6fd1a642a43229c7e9e8845ac6a332020-11-25T00:42:29ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-12-012017111910.1186/s13660-017-1587-5Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equationsYongyi Gu0Jianming Qi1School of Mathematics and Information Science, Guangzhou UniversityDepartment of Mathematics and Physics, Shanghai Dianji UniversityAbstract 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 exp ( − ϕ ( z ) ) $\exp(-\phi (z))$ -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.http://link.springer.com/article/10.1186/s13660-017-1587-5nonlinear evolution equationssymmetryexp ( − ϕ ( z ) ) $\exp(-\phi(z))$ -expansion methodcomplex methodexact solutionsmeromorphic function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yongyi Gu Jianming Qi
spellingShingle	Yongyi Gu Jianming Qi Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations Journal of Inequalities and Applications nonlinear evolution equations symmetry exp ( − ϕ ( z ) ) $\exp(-\phi(z))$ -expansion method complex method exact solutions meromorphic function
author_facet	Yongyi Gu Jianming Qi
author_sort	Yongyi Gu
title	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_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_sort	symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-12-01
description	Abstract 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 exp ( − ϕ ( z ) ) $\exp(-\phi (z))$ -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.
topic	nonlinear evolution equations symmetry exp ( − ϕ ( z ) ) $\exp(-\phi(z))$ -expansion method complex method exact solutions meromorphic function
url	http://link.springer.com/article/10.1186/s13660-017-1587-5
work_keys_str_mv	AT yongyigu symmetryreductionandexactsolutionsoftwohigherdimensionalnonlinearevolutionequations AT jianmingqi symmetryreductionandexactsolutionsoftwohigherdimensionalnonlinearevolutionequations
_version_	1725282210469117952

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

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