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

被引：0

作者：

Abdelhafeez, Samy A. ^{[1
]}

Arafa, Anas A. M. ^{[2
]}

Zahran, Yousef H. ^{[4
]}

Ramadan, Moutaz ^{[1
,3
]}

Osman, Ibrahim S. I. ^{[4
]}

机构：

[1] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said, Egypt

[2] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities, Dept Math, Alkharj, Saudi Arabia

[4] Port Said Univ, Fac Engn, Phys & Math Dept, Port Said, Egypt

来源：

SCIENTIFIC REPORTS | 2025年 / 15卷 / 01期

关键词：

Fractional derivatives; New general integral transform; Residual power series method; Zakharov-Kuznetsov equation; Numerical results;

D O I：

10.1038/s41598-025-09102-y

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：12

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