{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:37:36Z","timestamp":1753886256330,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,9,13]],"date-time":"2012-09-13T00:00:00Z","timestamp":1347494400000},"content-version":"vor","delay-in-days":256,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Programa de Apoyo a Proyectos de Investigaci\u00f3n e Innovaci\u00f3n Tecnol\u00f3gica","award":["IN107509","1135"],"award-info":[{"award-number":["IN107509","1135"]}]},{"name":"Instituto de Ingenier\u00eda UNAM","award":["IN107509","1135"],"award-info":[{"award-number":["IN107509","1135"]}]}],"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>The homotopy analysis method is used to obtain analytical solutions of the Rayleigh equation for the radial oscillations of a multielectron bubble in liquid helium. The small order approximations for amplitude and frequency fit well with those computed numerically. The results confirm that the homotopy analysis method is a powerful and manageable tool for finding analytical solutions of strongly nonlinear dynamical systems.<\/jats:p>","DOI":"10.1155\/2012\/591058","type":"journal-article","created":{"date-parts":[[2012,9,14]],"date-time":"2012-09-14T18:05:58Z","timestamp":1347645958000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble"],"prefix":"10.1155","volume":"2012","author":[{"given":"F. A.","family":"God\u00ednez","sequence":"first","affiliation":[]},{"given":"M. A.","family":"Escobedo","sequence":"additional","affiliation":[]},{"given":"M.","family":"Navarrete","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,9,13]]},"reference":[{"volume-title":"Beyond Perturbation","year":"2004","author":"Liao S. J.","key":"e_1_2_6_1_2"},{"doi-asserted-by":"publisher","key":"e_1_2_6_2_2","DOI":"10.1111\/j.1467-9590.2007.00387.x"},{"doi-asserted-by":"publisher","key":"e_1_2_6_3_2","DOI":"10.1016\/j.cnsns.2008.04.013"},{"doi-asserted-by":"publisher","key":"e_1_2_6_4_2","DOI":"10.1016\/S0020-7462(02)00174-9"},{"doi-asserted-by":"publisher","key":"e_1_2_6_5_2","DOI":"10.1016\/j.icheatmasstransfer.2006.12.001"},{"doi-asserted-by":"publisher","key":"e_1_2_6_6_2","DOI":"10.1016\/j.nonrwa.2008.11.005"},{"doi-asserted-by":"publisher","key":"e_1_2_6_7_2","DOI":"10.1007\/s11071-006-9193-y"},{"doi-asserted-by":"publisher","key":"e_1_2_6_8_2","DOI":"10.1007\/s00033-006-0061-x"},{"key":"e_1_2_6_9_2","doi-asserted-by":"crossref","first-page":"892","DOI":"10.1016\/j.mechrescom.2009.08.003","article-title":"On the large amplitude free vibrations of tapered beams: an analytical approach","volume":"36","author":"Hoseini S. H.","year":"2009","journal-title":"Mechanics Research Communications"},{"doi-asserted-by":"publisher","key":"e_1_2_6_10_2","DOI":"10.1016\/j.camwa.2008.10.082"},{"doi-asserted-by":"publisher","key":"e_1_2_6_11_2","DOI":"10.1103\/PhysRevLett.47.1730"},{"doi-asserted-by":"crossref","unstructured":"HannahsS. T. WilliamsG. A. andSalomaaM. M. Acoustic oscillations of multielectron bubbles in liquid helium 1 Proceedings of the IEEE Ultrasonics Symposium November 1995 635\u2013640.","key":"e_1_2_6_12_2","DOI":"10.1109\/ULTSYM.1995.495653"},{"doi-asserted-by":"publisher","key":"e_1_2_6_13_2","DOI":"10.1103\/PhysRevB.70.224303"},{"key":"e_1_2_6_14_2","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.surfrep.2007.03.001","article-title":"Multielectron bubbles in helium as a paradigm for studying electrons on surfaces with curvatures","volume":"62","author":"Tempere J.","year":"2007","journal-title":"Surface Science Reports"},{"doi-asserted-by":"publisher","key":"e_1_2_6_15_2","DOI":"10.1007\/978-94-015-8289-6"},{"doi-asserted-by":"publisher","key":"e_1_2_6_16_2","DOI":"10.1016\/j.physleta.2005.10.005"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/591058.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/591058.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/591058","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,8]],"date-time":"2025-04-08T14:38:42Z","timestamp":1744123122000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/591058"}},"subtitle":[],"editor":[{"given":"Hui-Shen","family":"Shen","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/591058"],"URL":"https:\/\/doi.org\/10.1155\/2012\/591058","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":"2012-03-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-08-15","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-09-13","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"591058"}}