{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T14:42:50Z","timestamp":1768315370158,"version":"3.49.0"},"reference-count":21,"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":"Promotion Program for Young and Middle-Aged Teacher in Science and Technology Research of Huaqiao University","award":["ZQN-PY119"],"award-info":[{"award-number":["ZQN-PY119"]}]},{"name":"Promotion Program for Young and Middle-Aged Teacher in Science and Technology Research of Huaqiao University","award":["12BS223"],"award-info":[{"award-number":["12BS223"]}]},{"name":"Foundation of Huaqiao University","award":["ZQN-PY119"],"award-info":[{"award-number":["ZQN-PY119"]}]},{"name":"Foundation of Huaqiao University","award":["12BS223"],"award-info":[{"award-number":["12BS223"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, singular solutions, periodic singular solutions, and kink-shaped solutions, most of which are new. Some previous results are extended.<\/jats:p>","DOI":"10.1155\/2014\/984791","type":"journal-article","created":{"date-parts":[[2014,2,26]],"date-time":"2014-02-26T06:15:44Z","timestamp":1393395344000},"page":"1-7","source":"Crossref","is-referenced-by-count":3,"title":["New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation"],"prefix":"10.1155","volume":"2014","author":[{"given":"Zhenshu","family":"Wen","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China"}]}],"member":"98","reference":[{"issue":"5","key":"1","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1007\/BF00418048","volume":"31","year":"1975","journal-title":"Applied Scientific Research"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.54.396"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01466593"},{"key":"4","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1017\/S0022112092213288","volume":"244","year":"1992","journal-title":"Journal of Fluid Mechanics"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2008.08.045"},{"issue":"7","key":"6","first-page":"956","volume":"41","year":"2010","journal-title":"Advances in Engineering Software"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.03.026"},{"issue":"1","key":"8","first-page":"1","volume":"3","year":"2011","journal-title":"Studies in Mathematical Sciences"},{"issue":"41\u201344","key":"9","first-page":"2131","volume":"7","year":"2012","journal-title":"International Mathematical Forum"},{"issue":"45\u201348","key":"10","first-page":"2287","volume":"6","year":"2012","journal-title":"International Journal of Mathematical Analysis"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1155\/2010\/652649"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.08.025"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2010.11.002"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/320163"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/704931"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/597431"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/490341"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/462957"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/972416"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/483492"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1289-1"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/984791.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/984791.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/984791.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T08:36:51Z","timestamp":1498120611000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/984791\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":21,"alternative-id":["984791","984791"],"URL":"https:\/\/doi.org\/10.1155\/2014\/984791","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}