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Using the Hirota direct method, we establish a general theory for the diversity of interaction solutions, which can be applied to generate many important solutions, such as lumps and lump\u2010soliton solutions. This is an interesting feature of this research. In addition, we prove this new model is integrable in Painlev\u00e9 sense. Finally, the diversity of interactive wave solutions of the gHSI is graphically displayed by selecting specific parameters. All the obtained results can be applied to the research of fluid dynamics.<\/jats:p>","DOI":"10.1155\/2019\/5874904","type":"journal-article","created":{"date-parts":[[2019,11,22]],"date-time":"2019-11-22T23:31:24Z","timestamp":1574465484000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Diversity of Interaction Solutions of a Shallow Water Wave Equation"],"prefix":"10.1155","volume":"2019","author":[{"given":"Jian-Ping","family":"Yu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5309-1493","authenticated-orcid":false,"given":"Wen-Xiu","family":"Ma","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3534-7528","authenticated-orcid":false,"given":"Bo","family":"Ren","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2936-6623","authenticated-orcid":false,"given":"Yong-Li","family":"Sun","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1986-4859","authenticated-orcid":false,"given":"Chaudry Masood","family":"Khalique","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,11,22]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511543043"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(83)90764-8"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-04-03726-2"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3203-5"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(77)90875-1"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.524208"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623998"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(90)90609-r"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2015.06.061"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/90\/6\/065206"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-2998-4"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0217979216400282"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2539-6"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3122-5"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2016.11.009"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2014.05.005"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2016.08.027"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3533-y"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1996.0013"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.06.002"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/411\/1\/012021"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(94)90616-5"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2015.12.015"},{"key":"e_1_2_9_24_2","first-page":"140","article-title":"Generalized bilinear differential equations","volume":"2","author":"Ma W. 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