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New traveling wave solutions and a general form of multiple-soliton solutions of cc\u2013qcGLEs are obtained via the B\u00e4cklund transformation and simplest equation method with Bernoulli, Riccati and Burgers\u2019 equations as simplest equations. <\/jats:p>","DOI":"10.1142\/s0217984918500458","type":"journal-article","created":{"date-parts":[[2018,1,8]],"date-time":"2018-01-08T02:22:11Z","timestamp":1515378131000},"page":"1850045","source":"Crossref","is-referenced-by-count":5,"title":["Integrability of the coupled cubic\u2013quintic complex Ginzburg\u2013Landau equations and multiple-soliton solutions via mathematical methods"],"prefix":"10.1142","volume":"32","author":[{"given":"Ehab S.","family":"Selima","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China"},{"name":"Mathematics Department, Faculty of Science, Menoufia University, Shebin El-Kom 32511, Egypt"}]},{"given":"Aly R.","family":"Seadawy","sequence":"additional","affiliation":[{"name":"Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia"},{"name":"Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt"}]},{"given":"Xiaohua","family":"Yao","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China"}]},{"given":"F.\u00a0A.","family":"Essa","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China"}]}],"member":"219","published-online":{"date-parts":[[2018,2,9]]},"reference":[{"key":"S0217984918500458BIB001","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112069000176"},{"key":"S0217984918500458BIB002","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.51.381"},{"key":"S0217984918500458BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(86)90140-5"},{"key":"S0217984918500458BIB004","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.44.6466"},{"key":"S0217984918500458BIB005","volume-title":"Linear and Nonlinear Waves","author":"Whitham G. 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