Various traveling wave solutions for (2+1)-dimensional extended Kadomtsev-Petviashvili equation using a newly created methodology

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dc.authoridKaya Saglam, Fatma Nur/0000-0001-7488-3254
dc.contributor.authorSaglam, Fatma Nur Kaya
dc.contributor.authorMalik, Sandeep
dc.date.accessioned2024-10-29T17:58:23Z
dc.date.available2024-10-29T17:58:23Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractThe Kadomtsev-Petviashvili (KP) equation is a crucial model in various physical systems, including hydrodynamic wave disturbances, plasma physics, and nonlinear optics. Our study focuses on the analytical solutions of the (2+1)-dimensional extended KP equation, as these solutions can offer mathematical tools for understanding wave behavior and have practical applications. We found that incorporating two additional terms can restore the integrability of the equation, leading to the generation of dark and bright soliton and traveling wave solutions. In this work, we employ the Kumar-Malik method to find analytical solutions to the (2+1)- dimensional extended KP equation. The Kumar-Malik method is an effective approach for solving nonlinear partial differential equations (NLPDEs) based on a first-order differential equation. By applying this method, we have derived various solutions to the (2+1)-dimensional extended KP equation, including Jacobi elliptic, hyperbolic, trigonometric, and exponential function solutions. These solutions are then presented graphically to illustrate the wave behavior under different parameters. Our results contribute to a deeper understanding of the KP equation's behavior under different physical conditions. Specifically, we have examined the effects of parameters on the widths, velocities, and other essential properties of the waves. This information is invaluable for studying hydrodynamic waves, plasma fluctuations, and optical solitons. In conclusion, this work underscores the importance of obtaining analytical solutions to the (2+1)-dimensional extended KP equation and presenting these solutions graphically. These solutions provide a valuable resource for understanding the complex behavior of physical systems and can inspire future research.
dc.identifier.doi10.1016/j.chaos.2024.115318
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85199523948
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2024.115318
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14280
dc.identifier.volume186
dc.identifier.wosWOS:001282452600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSolitons
dc.subjectAnalytic solutions
dc.subjectKadomtsev-Petviashvili equation
dc.subjectKumar-Malik method
dc.titleVarious traveling wave solutions for (2+1)-dimensional extended Kadomtsev-Petviashvili equation using a newly created methodology
dc.typeArticle

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