{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T17:19:24Z","timestamp":1718126364051},"reference-count":22,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Basic Scientific Research of Central Colleges","award":["CHD2009JC140"],"award-info":[{"award-number":["CHD2009JC140"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The solving processes of the homogeneous balance method, Jacobi elliptic function expansion method, fixed point method, and modified mapping method are introduced in this paper. By using four different methods, the exact solutions of nonlinear wave equation of a finite deformation elastic circular rod, Boussinesq equations and dispersive long wave equations are studied. In the discussion, the more physical specifications of these nonlinear equations, have been identified and the results indicated that these methods (especially the fixed point method) can be used to solve other similar nonlinear wave equations.<\/jats:p>","DOI":"10.1155\/2014\/487571","type":"journal-article","created":{"date-parts":[[2014,4,22]],"date-time":"2014-04-22T21:08:20Z","timestamp":1398200900000},"page":"1-10","source":"Crossref","is-referenced-by-count":3,"title":["Analytical Solutions for the Elastic Circular Rod Nonlinear Wave, Boussinesq, and Dispersive Long Wave Equations"],"prefix":"10.1155","volume":"2014","author":[{"given":"Shi","family":"Jing","sequence":"first","affiliation":[{"name":"School of Science, Chang\u2019an University, Xi\u2019an 710064, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan","family":"Xin-li","sequence":"additional","affiliation":[{"name":"School of Science, Xi\u2019an University of Architecture and Technology, Xi\u2019an 710055, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/s10483-006-1016-y"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0525-9"},{"issue":"3","key":"3","doi-asserted-by":"crossref","first-page":"949","DOI":"10.12785\/amis\/080303","volume":"8","year":"2014","journal-title":"Journal of Applied Mathematics and Information Science"},{"issue":"2","key":"4","first-page":"109","volume":"37","year":"2013","journal-title":"The Iranian Journal of Science and Technology A"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02458520"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/17\/1\/002"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s10483-006-0612-z"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(03)00196-8"},{"issue":"5","key":"9","first-page":"943","volume":"23","year":"2006","journal-title":"Chinese Journal of Engineering Mathematics"},{"issue":"7","key":"10","doi-asserted-by":"crossref","first-page":"1254","DOI":"10.7498\/aps.46.1254","volume":"46","year":"1997","journal-title":"Acta Physica Sinica"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/17\/4\/002"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2011.09.021"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(01)00644-2"},{"issue":"1\u20135","key":"14","first-page":"67","volume":"216","year":"1996","journal-title":"Physics Letters A: General, Atomic and Solid State Physics"},{"issue":"3","key":"15","doi-asserted-by":"crossref","first-page":"353","DOI":"10.7498\/aps.47.353","volume":"47","year":"1998","journal-title":"Acta Physica Sinica"},{"issue":"4","key":"16","doi-asserted-by":"crossref","first-page":"718","DOI":"10.7498\/aps.51.718","volume":"51","year":"2002","journal-title":"Acta Physica Sinica"},{"issue":"1","key":"17","first-page":"179","volume":"20","year":"2013","journal-title":"Scientia Iranica B"},{"issue":"10","key":"18","doi-asserted-by":"crossref","first-page":"800","DOI":"10.1360\/csb1991-36-10-800","volume":"36","year":"1991","journal-title":"Chinese Science Bulletin"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1007\/s10483-006-1005-1"},{"key":"20","year":"2004"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(03)00909-5"},{"issue":"9","key":"22","doi-asserted-by":"crossref","first-page":"4414","DOI":"10.7498\/aps.55.4414","volume":"55","year":"2006","journal-title":"Acta Physica Sinica"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/487571.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/487571.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/487571.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T03:26:55Z","timestamp":1648870015000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/487571\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":22,"alternative-id":["487571","487571"],"URL":"https:\/\/doi.org\/10.1155\/2014\/487571","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}