Signature of Conservation Laws and Solitary Wave Solution With Different Dynamics in Thomas–fermi Plasma: Lie Theory
| dc.authorscopusid | 59146615700 | |
| dc.authorscopusid | 57213314244 | |
| dc.authorscopusid | 57220583847 | |
| dc.authorscopusid | 56638410400 | |
| dc.contributor.author | Fayyaz, M. | |
| dc.contributor.author | Riaz, M.B. | |
| dc.contributor.author | Rehman, M.J.U. | |
| dc.contributor.author | Tunç, O. | |
| dc.date.accessioned | 2025-05-10T16:55:06Z | |
| dc.date.available | 2025-05-10T16:55:06Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Fayyaz M., Department of Mathematics, University of Management and Technology Lahore, Pakistan; Riaz M.B., IT4Innovations, VSB – Technical University of Ostrava, Ostrava, Czech Republic, Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon; Rehman M.J.U., Department of Mathematics, Quaid-I-Azam University, Islamabad, 45320, Pakistan; Tunç O., Department of Computer Programing, Baskale Vocational School, Van Yuzuncu Yil University, Van, Campus, 65080, Turkey | en_US |
| dc.description.abstract | We propose a Lie group method to discuss the modified KP equation appearing in Thomas–Fermi (TM) plasma, characterised by cold and hot electrons. The Lie method facilitates the identification of similarity reductions, infinitesimal symmetries, group-invariant solutions, and novel analytical solutions for nonlinear models. The similarity reduction method is carried out to transform the nonlinear partial differential equations (NLPDE) into the nonlinear ordinary differential equations (NLODE). This study focuses on solitary wave profiles due to their usefulness in various engineering applications, including monitoring public transportation systems, managing coastlines, and mitigating disaster risks. It also addresses the conservation laws associated with the modified KP equation. The generalised auxiliary equation (GAEM) scheme is used to compute the new solitary wave patterns of the modified KP equation, which explains the dynamics of nonlinear waves in Thomas–Fermi plasma. The idea of nonlinear self-adjointness is used to compute the conservation laws of the examined model. The graphical behaviour of some solutions is represented by adjusting the suitable value of the parameters involved. © 2024 The Authors | en_US |
| dc.description.sponsorship | European Commission, EC, (.10.03.01/00/22_003/0000048); European Commission, EC | en_US |
| dc.identifier.doi | 10.1016/j.padiff.2024.100923 | |
| dc.identifier.issn | 2666-8181 | |
| dc.identifier.scopus | 2-s2.0-85203983335 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1016/j.padiff.2024.100923 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/3375 | |
| dc.identifier.volume | 12 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier B.V. | en_US |
| dc.relation.ispartof | Partial Differential Equations in Applied Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Conservation Laws | en_US |
| dc.subject | Generalised Auxiliary Equation Method | en_US |
| dc.subject | Lie Theory | en_US |
| dc.subject | Modified Kp Equation | en_US |
| dc.subject | Solitary Wave Solutions | en_US |
| dc.title | Signature of Conservation Laws and Solitary Wave Solution With Different Dynamics in Thomas–fermi Plasma: Lie Theory | en_US |
| dc.type | Article | en_US |