New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions

New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions

With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking o...

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Main Authors: Lizhen Wang, Qing Huang, Yanmei Di
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/836737
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spelling doaj-9591722fb3ec4d9da4dd7990bd06fbca2020-11-24T20:57:48ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/836737836737New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant SolutionsLizhen Wang0Qing Huang1Yanmei Di2Center for Nonlinear Studies, Northwest University, Xi’an 710069, ChinaCenter for Nonlinear Studies, Northwest University, Xi’an 710069, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaWith the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking one of them as an example, we present some group-invariant solutions to one of the new model systems.http://dx.doi.org/10.1155/2014/836737
collection DOAJ
language English
format Article
sources DOAJ
author Lizhen Wang
Qing Huang
Yanmei Di
spellingShingle Lizhen Wang
Qing Huang
Yanmei Di
New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions
Abstract and Applied Analysis
author_facet Lizhen Wang
Qing Huang
Yanmei Di
author_sort Lizhen Wang
title New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions
title_short New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions
title_full New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions
title_fullStr New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions
title_full_unstemmed New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions
title_sort new nonlinear systems admitting virasoro-type symmetry algebra and group-invariant solutions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking one of them as an example, we present some group-invariant solutions to one of the new model systems.
url http://dx.doi.org/10.1155/2014/836737
work_keys_str_mv AT lizhenwang newnonlinearsystemsadmittingvirasorotypesymmetryalgebraandgroupinvariantsolutions
AT qinghuang newnonlinearsystemsadmittingvirasorotypesymmetryalgebraandgroupinvariantsolutions
AT yanmeidi newnonlinearsystemsadmittingvirasorotypesymmetryalgebraandgroupinvariantsolutions
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