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A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow\u2010up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow\u2010up wave solutions, and solitary wave solutions.<\/jats:p>","DOI":"10.1155\/2012\/363879","type":"journal-article","created":{"date-parts":[[2012,7,19]],"date-time":"2012-07-19T00:16:21Z","timestamp":1342656981000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Periodic Wave Solutions and Their Limits for the Generalized KP\u2010BBM Equation"],"prefix":"10.1155","volume":"2012","author":[{"given":"Ming","family":"Song","sequence":"first","affiliation":[]},{"given":"Zhengrong","family":"Liu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7,16]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1972.0032"},{"key":"e_1_2_6_2_2","first-page":"539","article-title":"On the stability of solitary waves in weakly dispersive media","volume":"15","author":"Kadomtsev B. 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