Analytical treatment of the fractional Zakharov-Kuznetsov equation via the generalized integral residual power series method.

Samy A Abdelhafeez, Anas A M Arafa, Yousef H Zahran, Moutaz Ramadan, Ibrahim S I Osman

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Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 authors.

Samy A AbdelhafeezDepartment of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt.

Anas A M ArafaDepartment of Mathematics, College of Science, Qassim University, P. O. Box 6644, 51452, Buraydah, Saudi Arabia.

Yousef H ZahranPhysics and Mathematics Department, Faculty of Engineering, Port Said University, Port Said, Egypt. dryhhz@yahoo.com.

Moutaz RamadanDepartment of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt.

Ibrahim S I OsmanPhysics and Mathematics Department, Faculty of Engineering, Port Said University, Port Said, Egypt. Ibrahim.osman@eng.psu.edu.eg.

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6 · The paper itself

Abstract

This study presents a generalized integral residual power series method (GIRPSM) for finding semi-analytical solutions to the nonlinear fractional Zakharov-Kuznetsov equation (FZKE). This method combines the residual power series method with a new general integral transform to improve accuracy and convergence. The effectiveness of this method is demonstrated by the robustness of the numerical results. The results demonstrate that GIRPSM is highly accurate and reliable in solving nonlinear fractional partial differential equations, including those modeling plasma wave propagation.

Indexed as

Fractional derivativesNew general integral transformNumerical resultsResidual power series methodZakharov–Kuznetsov equation

Identifiers

PMID40664826

DOI10.1038/s41598-025-09102-y

PMCPMC12264054

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