New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation
The nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables. The finite symmetry transformations related with th...
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Online Access: | http://dx.doi.org/10.1080/25765299.2018.1449417 |
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doaj-7b60183502974ab39d6835007d6ad8e82020-11-24T21:12:48ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992018-05-01252717610.1080/25765299.2018.14494171449417New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equationHengchun Hu0Yueyue Li1University of Shanghai for Science and TechnologyUniversity of Shanghai for Science and TechnologyThe nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables. The finite symmetry transformations related with the nonlocal symmetries are computed. The multi-solitary wave solution of the (2 + 1)-dimensional coupled Burgers system are presented. By using the consistent tanh expansion method, many interaction solutions among solitons and other types of nonlinear excitations of a (2 + 1)-dimensional coupled Burgers system can be obtained, which include soliton-cnoidal waves, multiple resonant solutions, soliton-error function waves, soliton-rational waves, and soliton-periodic waves.http://dx.doi.org/10.1080/25765299.2018.1449417Nonlocal symmetriesconsistent tanh expansionsoliton-cnoidal wave solutions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hengchun Hu Yueyue Li |
spellingShingle |
Hengchun Hu Yueyue Li New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation Arab Journal of Basic and Applied Sciences Nonlocal symmetries consistent tanh expansion soliton-cnoidal wave solutions |
author_facet |
Hengchun Hu Yueyue Li |
author_sort |
Hengchun Hu |
title |
New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation |
title_short |
New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation |
title_full |
New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation |
title_fullStr |
New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation |
title_full_unstemmed |
New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation |
title_sort |
new interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled burgers equation |
publisher |
Taylor & Francis Group |
series |
Arab Journal of Basic and Applied Sciences |
issn |
2576-5299 |
publishDate |
2018-05-01 |
description |
The nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables. The finite symmetry transformations related with the nonlocal symmetries are computed. The multi-solitary wave solution of the (2 + 1)-dimensional coupled Burgers system are presented. By using the consistent tanh expansion method, many interaction solutions among solitons and other types of nonlinear excitations of a (2 + 1)-dimensional coupled Burgers system can be obtained, which include soliton-cnoidal waves, multiple resonant solutions, soliton-error function waves, soliton-rational waves, and soliton-periodic waves. |
topic |
Nonlocal symmetries consistent tanh expansion soliton-cnoidal wave solutions |
url |
http://dx.doi.org/10.1080/25765299.2018.1449417 |
work_keys_str_mv |
AT hengchunhu newinteractionsolutionsandnonlocalsymmetriesforthe21dimensionalcoupledburgersequation AT yueyueli newinteractionsolutionsandnonlocalsymmetriesforthe21dimensionalcoupledburgersequation |
_version_ |
1716749872925769728 |