首页|On the analytical soliton approximations to fractional forced Korteweg-de Vries equation arising in fluids and plasmas using two novel techniques

On the analytical soliton approximations to fractional forced Korteweg-de Vries equation arising in fluids and plasmas using two novel techniques

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The current investigation examines the fractional forced Korteweg-de Vries(FF-KdV)equation,a critically significant evolution equation in various nonlinear branches of science.The equation in question and other associated equations are widely acknowledged for their broad applicability and potential for simulating a wide range of nonlinear phenomena in fluid physics,plasma physics,and various scientific domains.Consequently,the main goal of this study is to use the Yang homotopy perturbation method and the Yang transform decomposition method,along with the Caputo operator for analyzing the FF-KdV equation.The derived approximations are numerically examined and discussed.Our study will show that the two suggested methods are helpful,easy to use,and essential for looking at different nonlinear models that affect complex processes.

forced fractional KdV equationCaputo operatorYang homotopy perturbation methodYang transform decomposition methodsolitons

Weaam Alhejaili、Emad A Az-Zo'bi、Rasool Shah、S A El-Tantawy

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Department of Mathematical Sciences,College of Science,Princess Nourah bint Abdulrahman University,PO Box 84428,Riyadh 11671,Saudi Arabia

Department Mathematics and Statistics,Mutah University,Al-Karak,Jordan

Department of Computer Science and Mathematics,Lebanese American University,Beirut,Lebanon

Department of Physics,Faculty of Science,Port Said University,Port Said 42521,Egypt

Department of Physics,Faculty of Science,Al-Baha University,Al-Baha P.O.Box 1988,Saudi Arabia

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authors express their gratitude to Princess Nourah bint Abdulrahman University Researchers Supporting Project numberPrincess Nourah bint Abdulrahman University,Riyadh,Saudi Arabia

PNURSP2024R229

2024

10.1088/1572-9494/ad53bc

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子：0.333
ISSN：0253-6102
年,卷(期)：2024.76(8)