{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T23:58:42Z","timestamp":1780099122539,"version":"3.54.0"},"reference-count":28,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,9,6]],"date-time":"2022-09-06T00:00:00Z","timestamp":1662422400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, a new extended (3+1)-dimensional shallow water wave equation is discussed via Lie symmetry analysis. Making use of symmetric nodes, we obtain two kinds of symmetrically reduced ODEs. By means of power series, we obtain the two kinds of exact power series solutions. By invoking a new conservation theorem of Ibragimov, the conservation laws are constructed.<\/jats:p>","DOI":"10.3390\/sym14091855","type":"journal-article","created":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T09:51:09Z","timestamp":1662630669000},"page":"1855","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Lie Symmetry Analysis, Particular Solutions and Conservation Laws of a New Extended (3+1)-Dimensional Shallow Water Wave Equation"],"prefix":"10.3390","volume":"14","author":[{"given":"Cailing","family":"Huo","sequence":"first","affiliation":[{"name":"School of Science, Jiangnan University, Wuxi 214122, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lianzhong","family":"Li","sequence":"additional","affiliation":[{"name":"School of Science, Jiangnan University, Wuxi 214122, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2283","DOI":"10.1016\/S0960-0779(00)00188-0","article-title":"Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method","volume":"12","author":"Wazwaz","year":"2001","journal-title":"Chaos Solitons Fractals"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1007\/s11071-014-1307-3","article-title":"Exact multi-wave solutions for the KdV equation","volume":"77","author":"Huang","year":"2014","journal-title":"Nonlinear Dyn."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1106","DOI":"10.1007\/s11232-015-0320-0","article-title":"Exact two-soliton solutions and two-periodic solutions of the perturbed mkdv equation with variable coefficients","volume":"184","author":"Huang","year":"2015","journal-title":"Theor. 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