{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:48:16Z","timestamp":1753886896635,"version":"3.41.2"},"reference-count":17,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,12,4]],"date-time":"2012-12-04T00:00:00Z","timestamp":1354579200000},"content-version":"vor","delay-in-days":338,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We investigate the wave equation in Bianchi type III space\u2010time. We construct a Lagrangian of the model, calculate and classify the Noether symmetry generators, and construct corresponding conserved forms. A reduction of the underlying equations is performed to obtain invariant solutions.<\/jats:p>","DOI":"10.1155\/2012\/765361","type":"journal-article","created":{"date-parts":[[2012,12,4]],"date-time":"2012-12-04T22:12:32Z","timestamp":1354659152000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Wave Equations in Bianchi Space\u2010Times"],"prefix":"10.1155","volume":"2012","author":[{"given":"S.","family":"Jamal","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. H.","family":"Kara","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R","family":"Narain","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,12,4]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_5_1_2","DOI":"10.1017\/S0956792501004661"},{"volume-title":"CRC Handbook of Lie Group Analysis of Differential Equations: Symmetries, Exact Solutions and Conservation Laws","year":"1994","author":"Ibragimov N. H.","key":"e_1_2_5_2_2"},{"volume-title":"Elementary Lie Group Analysis and Ordinary Differential Equations","year":"1999","author":"Ibragimov N. H.","key":"e_1_2_5_3_2"},{"doi-asserted-by":"publisher","key":"e_1_2_5_4_2","DOI":"10.1007\/978-1-4612-4350-2"},{"volume-title":"Group Analysis of Differential Equations","year":"1982","author":"Ovsiannikov L. V.","key":"e_1_2_5_5_2"},{"key":"e_1_2_5_6_2","article-title":"Invariante variations probleme","volume":"2","author":"Noether E.","year":"1918","journal-title":"Nachrichten der Akademie der Wissenschaften in G\u00f6ttingen, Mathematisch-Physikalische Klasse"},{"doi-asserted-by":"publisher","key":"e_1_2_5_7_2","DOI":"10.1007\/s10714-007-0501-8"},{"doi-asserted-by":"publisher","key":"e_1_2_5_8_2","DOI":"10.1007\/s10773-006-9096-1"},{"doi-asserted-by":"publisher","key":"e_1_2_5_9_2","DOI":"10.1063\/1.3597232"},{"doi-asserted-by":"publisher","key":"e_1_2_5_10_2","DOI":"10.1142\/S0218271897000297"},{"doi-asserted-by":"publisher","key":"e_1_2_5_11_2","DOI":"10.1103\/PhysRevD.76.084023"},{"key":"e_1_2_5_12_2","article-title":"Bianchi type I cosmology in generalized Saez-Ballester theory via Noether gauge symmetry","volume":"524","author":"Sanyal A. K.","year":"2002","journal-title":"Physics Letters B"},{"doi-asserted-by":"publisher","key":"e_1_2_5_13_2","DOI":"10.1016\/0022-0396(84)90100-1"},{"doi-asserted-by":"publisher","key":"e_1_2_5_14_2","DOI":"10.2307\/2374195"},{"doi-asserted-by":"publisher","key":"e_1_2_5_15_2","DOI":"10.1007\/978-94-009-5243-0"},{"doi-asserted-by":"publisher","key":"e_1_2_5_16_2","DOI":"10.1023\/A:1008240112483"},{"unstructured":"JamalS. KaraA. H. andBokhariA. H. Symmetries conservation laws and reduction of wave and Gordon-type equations on Riemannian manifolds 60 Proceedings of the International Conference on Applied Mathematics and Engineering (WASET \u203211) 2011 Puket Thailand World Academy of Science Engineering and Technology 945\u2013957.","key":"e_1_2_5_17_2"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/765361.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/765361.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/765361","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:40:45Z","timestamp":1718088045000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/765361"}},"subtitle":[],"editor":[{"given":"Fazal M.","family":"Mahomed","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/765361"],"URL":"https:\/\/doi.org\/10.1155\/2012\/765361","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-07-31","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-09-26","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-12-04","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"765361"}}