An investigation of (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system: Lie symmetry reductions, invariant solutions, dynamical behaviors and conservation laws

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dc.authorid, Dr. Amit Kumar/0000-0001-8829-934X
dc.contributor.authorKumar, Sachin
dc.contributor.authorKumar, Amit
dc.contributor.authorInc, Mustafa
dc.contributor.authorAlotaibi, Hammad
dc.contributor.authorAbdou, M. A.
dc.contributor.authorAkguel, Ali
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we develop the asymmetric Nizhnik-Novikov-Veselov (ANNV) system in (2+1)-dimensions, which has applications in processes of interaction of exponentially localized wave structures, as well as the infinitesimal generators, Lie symmetries, vector fields, and the commutator table. The link between Lie symmetry vectors and conserved vectors is constructed using symmetry conservation principles once Lie point symmetries are first deduced. Using the aforementioned Lie symmetry technique, two-stage symmetry reductions are used to obtain the precise analytical answers. These analytical solutions all incorporate a number of different functional parameters as well as arbitrary constant parameters. The diversity of the physical phenomena of the obtained soliton solutions is illustrated by the inclusion of arbitraryness of functional parameters and constants. By using Noether's method, conservation laws have subsequently been attained. The innovative aspect of the work described in this paper is an attempt to use 3-dimensional and 2-dimensional visuals, along with appropriate arbitrary parameter selections and functional parameter values, to represent the dynamical behavior of the solutions that have been produced. In order to make this research more intriguing, stripe solitons, dark-bright solitons, solitary waves, singular wave-form soliton, and other types of soliton wave profiles of the achieved solutions are described. The effectiveness, benefits, and utility of the employed approach are demonstrated by the physical and graphical interpretation of the answers attained.
dc.description.sponsorshipTaif University; Taif University, Saudi Arabia; [TURSP-2020/304]
dc.description.sponsorshipAcknowledgments The authors are thankful for the Taif University research supporting project number (TURSP-2020/304) , Taif University, Saudi Arabia. Allauthors have approved the final manuscript and note that this is our original work.
dc.identifier.doi10.1016/j.rinp.2022.106034
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85140075331
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.106034
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6734
dc.identifier.volume43
dc.identifier.wosWOS:000886091900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectClosed-form solutions
dc.subjectLie symmetries
dc.subjectInfinitesimal generators
dc.subjectANNV equation
dc.subjectSolitary waves
dc.titleAn investigation of (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system: Lie symmetry reductions, invariant solutions, dynamical behaviors and conservation laws
dc.typeArticle

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