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Soliton Solutions and Group Analysis of a New Coupled (2 + 1)-Dimensional Burgers Equations
Digital Document
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Peer Review Status
Peer Reviewed
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| Abstract |
Abstract
This paper focuses on a new coupled (2+1)-dimensional Burgers equations. The shock wave solution is obtained by the aid of Ansatz method. There are several constraint conditions which guarantee the existence of the derived solutions. Subsequently, the simplified Hirota bilinear method, established by Hereman, is applied to construct soliton solutions to the equation. Finally, the classic Lie symmetry analysis is employed to generate a class of new solutions to the equation based on the solutions obtained earlier by Ansatz and simplified Hirota bilinear methods |
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Physical Description Note
Publisher's PDF
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| DOI |
DOI
10.5506/APhysPolB.46.923"> http:\DOI:10.5506/APhysPolB.46.923
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| Use and Reproduction |
Use and Reproduction
I published in an open access publication
n particular, the intellectual rights fully remain at the aut hor or his/her employer. They also retain the right to copy, distribute and display the published version of this Article, and to create derivative works, as long as they credit the original Article source
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Rights Statement
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| Keywords |
Keywords
solitons
dimensional analysis
Burgers' equation
linear systems
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Subject Topic
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Cite this
| Language |
English
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| Name |
Soliton Solutions and Group Analysis of a New Coupled (2 + 1)-Dimensional Burgers Equations
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application/pdf
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| File size |
462830
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