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

Weaam Alhejaili ¹Emad A Az-Zo'bi ²Rasool Shah ³S A El-Tantawy⁴

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作者信息

1. Department of Mathematical Sciences,College of Science,Princess Nourah bint Abdulrahman University,PO Box 84428,Riyadh 11671,Saudi Arabia
2. Department Mathematics and Statistics,Mutah University,Al-Karak,Jordan
3. Department of Computer Science and Mathematics,Lebanese American University,Beirut,Lebanon
4. 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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Abstract

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.

Key words

forced fractional KdV equation/Caputo operator/Yang homotopy perturbation method/Yang transform decomposition method/solitons

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基金项目

authors express their gratitude to Princess Nourah bint Abdulrahman University Researchers Supporting Project number(PNURSP2024R229)

Princess Nourah bint Abdulrahman University,Riyadh,Saudi Arabia()

出版年

2024

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

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