{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T22:40:33Z","timestamp":1761864033970,"version":"build-2065373602"},"reference-count":19,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2019,8,9]],"date-time":"2019-08-09T00:00:00Z","timestamp":1565308800000},"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>This paper considers a generalized double dispersion equation depending on a nonlinear function     f ( u )     and four arbitrary parameters. This equation describes nonlinear dispersive waves in 2 + 1 dimensions and admits a Lagrangian formulation when it is expressed in terms of a potential variable. In this case, the associated Hamiltonian structure is obtained. We classify all of the Lie symmetries (point and contact) and present the corresponding symmetry transformation groups. Finally, we derive the conservation laws from those symmetries that are variational, and we discuss the physical meaning of the corresponding conserved quantities.<\/jats:p>","DOI":"10.3390\/sym11081031","type":"journal-article","created":{"date-parts":[[2019,8,9]],"date-time":"2019-08-09T11:11:31Z","timestamp":1565349091000},"page":"1031","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Hamiltonian Structure, Symmetries and Conservation Laws for a Generalized (2 + 1)-Dimensional Double Dispersion Equation"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6630-4574","authenticated-orcid":false,"given":"Elena","family":"Recio","sequence":"first","affiliation":[{"name":"Department of Mathematics, Universidad de C\u00e1diz, Puerto Real, 11510 C\u00e1diz, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9536-1065","authenticated-orcid":false,"given":"Tamara M.","family":"Garrido","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universidad de C\u00e1diz, Puerto Real, 11510 C\u00e1diz, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9357-9167","authenticated-orcid":false,"given":"Rafael","family":"de la Rosa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universidad de C\u00e1diz, Puerto Real, 11510 C\u00e1diz, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3599-6106","authenticated-orcid":false,"given":"Mar\u00eda S.","family":"Bruz\u00f3n","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universidad de C\u00e1diz, Puerto Real, 11510 C\u00e1diz, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2019,8,9]]},"reference":[{"key":"ref_1","first-page":"755","article-title":"Th\u00e9orie de l\u2019 intumescence liquide appel\u00e9e onde solitaire ou de translation, se propageant dans un canal rectangulaire","volume":"72","author":"Boussinesq","year":"1871","journal-title":"CR Acad. 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