Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation

Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation

We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. With the help of the infinitesimal generators, some group invariant solutions are deduced. Further, s...

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Bibliographic Details
Main Authors: Manoj Gaur, K. Singh
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/4270724
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spelling doaj-96709fcc1fef4e9ba228c1c61781ef2b2020-11-24T22:40:53ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/42707244270724Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ EquationManoj Gaur0K. Singh1Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan 173234, IndiaDepartment of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan 173234, IndiaWe investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. With the help of the infinitesimal generators, some group invariant solutions are deduced. Further, some exact solutions of fractional potential Burgers’ equation are generated by the invariant subspace method.http://dx.doi.org/10.1155/2016/4270724
collection DOAJ
language English
format Article
sources DOAJ
author Manoj Gaur
K. Singh
spellingShingle Manoj Gaur
K. Singh
Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation
International Journal of Differential Equations
author_facet Manoj Gaur
K. Singh
author_sort Manoj Gaur
title Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation
title_short Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation
title_full Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation
title_fullStr Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation
title_full_unstemmed Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation
title_sort symmetry classification and exact solutions of a variable coefficient space-time fractional potential burgers’ equation
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2016-01-01
description We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. With the help of the infinitesimal generators, some group invariant solutions are deduced. Further, some exact solutions of fractional potential Burgers’ equation are generated by the invariant subspace method.
url http://dx.doi.org/10.1155/2016/4270724
work_keys_str_mv AT manojgaur symmetryclassificationandexactsolutionsofavariablecoefficientspacetimefractionalpotentialburgersequation
AT ksingh symmetryclassificationandexactsolutionsofavariablecoefficientspacetimefractionalpotentialburgersequation
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