{"id":1704,"date":"2023-06-14T12:07:13","date_gmt":"2023-06-14T12:07:13","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=1704"},"modified":"2023-10-12T22:02:05","modified_gmt":"2023-10-12T22:02:05","slug":"solutions-of-differential-equations-through-lie-symmetry-algebras","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/solutions-of-differential-equations-through-lie-symmetry-algebras\/","title":{"rendered":"Solutions of differential equations through Lie symmetry algebras"},"content":{"rendered":"\n
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Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

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Solutions of differential equations through Lie symmetry algebras<\/strong><\/em><\/em><\/p>\n<\/div>\n<\/div>\n\n\n\n

Abdelaziz Ouhadan & El Hassan El Kinani <\/strong><\/i>
Department of Mathematics, Mathematical and Didactical Research Team,
Regional Center of Education and Training Trades, Meknes, Morocco;
Department of Mathematics, Modeling Analysis and Control Systems (MACS)
Faculty of Sciences, Moulay Ismail University, Meknes, Morocco<\/p>\n\n\n\n

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Pages 14-37 | Received 10 October 2022, Accepted 28 December 2022, Published 16 June 2023 <\/span><\/p>\n\n\n\n

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Abstract<\/span><\/strong><\/p>\n\n\n\n

In this paper, on the one hand, the necessary fundamental results of Lie\u2019s theory are presented. Precisely, we expose the notion of infinitesimal generators of a given group action, prologation formula and invariance criterion. On the other hand, some applications of symmetry analysis to some differential equations as construction of similarity solutions, linearization and so on are presentand.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span>  Lie group transformations, Differential equation, Similarity solutions.. <\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 26A33, 70G65, 76M60.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles Solutions of differential equations through Lie symmetry algebras Abdelaziz Ouhadan & El Hassan El Kinani Department of Mathematics, Mathematical and Didactical Research Team, Regional Center of Education and Training Trades, Meknes, Morocco; Department of Mathematics, Modeling Analysis and Control Systems (MACS) Faculty of Sciences, Moulay Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-1704","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/1704","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=1704"}],"version-history":[{"count":7,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/1704\/revisions"}],"predecessor-version":[{"id":1935,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/1704\/revisions\/1935"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=1704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}