Exploring wave interactions and conserved quantities of KdV-Caudrey-Dodd-Gibbon equation using Lie theory

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dc.contributor.authorAlmusawa, Hassan
dc.contributor.authorJhangeer, Adil
dc.date.accessioned2026-04-17T12:58:57Z
dc.date.available2026-04-17T12:58:57Z
dc.date.issued2024
dc.description.abstractThis study introduces the KdV-Caudrey-Dodd-Gibbon (KdV-CDGE) equation to describe long water waves, acoustic waves, plasma waves, and nonlinear optics. Employing a generalized new auxiliary equation scheme, we derive exact analytical wave solutions, revealing rational, exponential, trigonometric, and hyperbolic trigonometric structures. The model also produces periodic, dark, bright, singular, and other soliton wave profiles. We compute classical and translational symmetries to develop abelian algebra, and visualize our results using selected parameters.
dc.description.firstpageart. no. 2242
dc.description.issue14
dc.description.sourceWeb of Science
dc.description.volume12
dc.identifier.citationMathematics. 2024, vol. 12, issue 14, art. no. 2242.
dc.identifier.doi10.3390/math12142242
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10084/158416
dc.identifier.wos001277438600001
dc.language.isoen
dc.publisherMDPI
dc.relation.ispartofseriesMathematics
dc.relation.urihttps://doi.org/10.3390/math12142242
dc.rights© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
dc.rights.accessopenAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectmathematical model
dc.subjectvisualization
dc.subjectLie theory
dc.subjectabelian algebra
dc.subjectidentification of essential parameters
dc.titleExploring wave interactions and conserved quantities of KdV-Caudrey-Dodd-Gibbon equation using Lie theory
dc.typearticle
dc.type.statusPeer-reviewed
dc.type.versionpublishedVersion
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