Conservation law and Lie symmetry analysis of Foam Drainage equation
In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE. Also we apply the Lie-group classical, and the nonclassical method due to Bluman and Cole to deduce symmetries of the Foam Drainage equat...
| Päätekijät: | , |
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| Aineistotyyppi: | Artikkeli |
| Kieli: | English |
| Julkaistu: |
Amirkabir University of Technology
2021-02-01
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| Sarja: | AUT Journal of Mathematics and Computing |
| Aiheet: | |
| Linkit: | https://ajmc.aut.ac.ir/article_4161_b5606088c594819303a0914f670fadbe.pdf |
| _version_ | 1827350006229630976 |
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| author | Mehdi Nadjafikhah Omid Chekini |
| author_facet | Mehdi Nadjafikhah Omid Chekini |
| author_sort | Mehdi Nadjafikhah |
| collection | DOAJ |
| description | In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE. Also we apply the Lie-group classical, and the nonclassical method due to Bluman and Cole to deduce symmetries of the Foam Drainage equation. and we prove that the nonclassical method applied to the equation leads to new reductions, which cannot be obtained by Lie classical symmetries. Also this paper shows how to construct directly the local conservation laws for this equation. |
| first_indexed | 2024-03-08T00:51:36Z |
| format | Article |
| id | doaj.art-0ddccf66a17c4a9a86c942c6c241a81d |
| institution | Directory Open Access Journal |
| issn | 2783-2449 2783-2287 |
| language | English |
| last_indexed | 2024-03-08T00:51:36Z |
| publishDate | 2021-02-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj.art-0ddccf66a17c4a9a86c942c6c241a81d2024-02-14T19:37:14ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872021-02-0121374410.22060/ajmc.2020.18460.10364161Conservation law and Lie symmetry analysis of Foam Drainage equationMehdi Nadjafikhah0Omid Chekini1Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, IranDepartment of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, IranIn this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE. Also we apply the Lie-group classical, and the nonclassical method due to Bluman and Cole to deduce symmetries of the Foam Drainage equation. and we prove that the nonclassical method applied to the equation leads to new reductions, which cannot be obtained by Lie classical symmetries. Also this paper shows how to construct directly the local conservation laws for this equation.https://ajmc.aut.ac.ir/article_4161_b5606088c594819303a0914f670fadbe.pdflie group analysisconservation law optimal systemfoam drainage equationnonclassical symmetry |
| spellingShingle | Mehdi Nadjafikhah Omid Chekini Conservation law and Lie symmetry analysis of Foam Drainage equation AUT Journal of Mathematics and Computing lie group analysis conservation law optimal system foam drainage equation nonclassical symmetry |
| title | Conservation law and Lie symmetry analysis of Foam Drainage equation |
| title_full | Conservation law and Lie symmetry analysis of Foam Drainage equation |
| title_fullStr | Conservation law and Lie symmetry analysis of Foam Drainage equation |
| title_full_unstemmed | Conservation law and Lie symmetry analysis of Foam Drainage equation |
| title_short | Conservation law and Lie symmetry analysis of Foam Drainage equation |
| title_sort | conservation law and lie symmetry analysis of foam drainage equation |
| topic | lie group analysis conservation law optimal system foam drainage equation nonclassical symmetry |
| url | https://ajmc.aut.ac.ir/article_4161_b5606088c594819303a0914f670fadbe.pdf |
| work_keys_str_mv | AT mehdinadjafikhah conservationlawandliesymmetryanalysisoffoamdrainageequation AT omidchekini conservationlawandliesymmetryanalysisoffoamdrainageequation |