{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,4]],"date-time":"2026-03-04T03:00:43Z","timestamp":1772593243384,"version":"3.50.1"},"reference-count":40,"publisher":"World Scientific Pub Co Pte Ltd","issue":"14","funder":[{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["Grant ZR2021MA084"],"award-info":[{"award-number":["Grant ZR2021MA084"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Liaocheng University","award":["318012025"],"award-info":[{"award-number":["318012025"]}]},{"name":"Discipline with Strong Characteristics of Liaocheng University-Intelligent Science and Technology","award":["Grant 319462208"],"award-info":[{"award-number":["Grant 319462208"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2023,11]]},"abstract":"<jats:p> A new generalized [Formula: see text]-dimensional Kadomtsev\u2013Petviashvili (KP) equation is investigated via bifurcation theory. Firstly, the phase portraits of the equation are drawn, and the corresponding qualitative conclusions are summarized. Then, based on the orbits of phase portraits, some exact solutions, including periodic, singular and soliton solutions, are derived. In addition, we enumerate twenty-seven solutions utilizing the generalized Riccati equation mapping method. Furthermore, the physical structures of some solutions are graphically constructed with setting suitable values of parameters. <\/jats:p>","DOI":"10.1142\/s021812742350164x","type":"journal-article","created":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T02:56:42Z","timestamp":1700794602000},"source":"Crossref","is-referenced-by-count":3,"title":["Traveling Wave Solutions and Bifurcations of a New Generalized (3 + 1)-Dimensional Kadomtsev\u2013Petviashvili Equation"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-0261-2820","authenticated-orcid":false,"given":"M. Y.","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, P. R. 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