Invariance Analysis, Exact Solution and Conservation Laws of (2+1) Dim Fractional Kadomtsev-Petviashvili (KP) System

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dc.contributor.authorKumar, Sachin
dc.contributor.authorKour, Baljinder
dc.contributor.authorYao, Shao-Wen
dc.contributor.authorİnç, Mustafa
dc.contributor.authorOsman, Mohamed S.
dc.date.accessioned2026-08-12T17:35:55Z
dc.date.issued2021
dc.departmentFırat Üniversitesi
dc.description.abstractIn this work, a Lie group reduction for a (2 + 1) dimensional fractional Kadomtsev-Petviashvili (KP) system is determined by using the Lie symmetry method with Riemann Liouville derivative. After reducing the system into a two-dimensional nonlinear fractional partial differential system (NLFPDEs), the power series (PS) method is applied to obtain the exact solution. Further the obtained power series solution is analyzed for convergence. Then, using the new conservation theorem with a generalized Noether's operator, the conservation laws of the KP system are obtained.
dc.description.sponsorshipNational Natural Science Foundation of China [71601072]; Key Scientific Research Project of Higher Education Institutions in Henan Province of China [20B110006]; Fundamental Research Funds for the Universities of Henan Province
dc.description.sponsorshipNational Natural Science Foundation of China (No. 71601072), Key Scientific Research Project of Higher Education Institutions in Henan Province of China (No. 20B110006) and the Fundamental Research Funds for the Universities of Henan Province.
dc.identifier.doi10.3390/sym13030477
dc.identifier.issn2073-8994
dc.identifier.issue3
dc.identifier.orcid0000-0003-4996-8373
dc.identifier.orcid0000-0001-9741-9294
dc.identifier.orcid0000-0002-5783-0940
dc.identifier.orcid0000-0002-5280-2975
dc.identifier.scopus2-s2.0-85103080278
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym13030477
dc.identifier.urihttps://hdl.handle.net/11508/57735
dc.identifier.volume13
dc.identifier.wosWOS:000634273500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectfractional Kadomtsev-Petviashvili system
dc.subjectlie group analysis
dc.subjectpower series solutions
dc.subjectconvergence analysis
dc.subjectconservation laws
dc.titleInvariance Analysis, Exact Solution and Conservation Laws of (2+1) Dim Fractional Kadomtsev-Petviashvili (KP) System
dc.typeArticle

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