{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T03:07:07Z","timestamp":1773630427346,"version":"3.50.1"},"reference-count":49,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2022,4,29]],"date-time":"2022-04-29T00:00:00Z","timestamp":1651190400000},"content-version":"vor","delay-in-days":118,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p>\n                    In this research, the (2\u2009+\u20091)\u2010dimensional (\n                    <jats:italic>D<\/jats:italic>\n                    ) variable\u2010coefficient (VC) Caudrey\u2013Dodd\u2013Gibbon\u2013Kotera\u2013Sawada model used in soliton hypothesis and implemented by operating the Hirota bilinear scheme is studied. A few modern exact analytical outcomes containing interaction between a lump\u2010two kink soliton, interaction between two\u2010lump, the interaction between two\u2010lump soliton, lump\u2010periodic, and lump\u2010three kink outcomes for the (2\u2009+\u20091)\u2010D VC Caudrey\u2013Dodd\u2013Gibbon\u2013Kotera\u2013Sawada equation by Maple Symbolic packages are obtained. By employing Hirota\u2019s bilinear technique, the extended soliton solutions according to bilinear frame equation are received. For this model, the contemplated model can be got by multi\u2010D binary Bell polynomials (bBPs). In addition, the analytical analysis of the high\u2010order soliton outcomes to present the discipline of outcomes. The effect of the free parameters on the behavior of acquired figures of a few obtained solutions for the nonlinear rational exact cases was also discussed. The above technique could also be employed to get exact solutions for other nonlinear models in physics, applied mathematics, and engineering.\n                  <\/jats:p>","DOI":"10.1155\/2022\/4383100","type":"journal-article","created":{"date-parts":[[2022,4,29]],"date-time":"2022-04-29T23:20:08Z","timestamp":1651274408000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["N\u2010Lump to the (2+1)\u2010Dimensional Variable\u2010Coefficient Caudrey\u2013Dodd\u2013Gibbon\u2013Kotera\u2013Sawada Equation"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8391-987X","authenticated-orcid":false,"given":"Junjie","family":"Li","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7201-6667","authenticated-orcid":false,"given":"Jalil","family":"Manafian","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3732-9454","authenticated-orcid":false,"given":"Aditya","family":"Wardhana","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8309-1854","authenticated-orcid":false,"given":"Ali J.","family":"Othman","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3718-4766","authenticated-orcid":false,"given":"Ismail","family":"Husein","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7334-1613","authenticated-orcid":false,"given":"Mohaimen","family":"Al-Thamir","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3442-6865","authenticated-orcid":false,"given":"Mostafa","family":"Abotaleb","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2022,4,29]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.03.041"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1515\/zna-2009-7-803"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-021-03220-3"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2019.01.050"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1080\/17455030.2017.1348645"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.joes.2021.08.009"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2017.03.017"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.heliyon.2021.e07001"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2020.103769"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2018.01.010"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.53894\/ijirss.v4i2.55"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/5765061"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/4072754"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.4102\/sajbm.v51i1.2046"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.14689\/ejer.2021.95.2"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2021.125567"},{"key":"e_1_2_10_17_2","doi-asserted-by":"crossref","unstructured":"Al-SanjaryO. 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