Analytical analysis of fractional nonlinear Jaulent-Miodek system with energy-dependent Schrödinger potential

Frontiers in Physics

Physics

Rasool Shah¹  Ma’mon Abu Hammad²  Sherif M. E. Ismaeel³  Albandari W. Alrowaily⁴  Samir A. El-Tantawy⁵ 

[1]Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan

[2]Department of Mathematics, Al-Zaytoonah University of Jordan, Amman, Jordan

[3]Department of Physics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Riyadh, Saudi Arabia

[4]Department of Physics, Faculty of Science, Ain Shams University, Cairo, Egypt

[5]Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

[6]Department of Physics, Faculty of Science, Port Said University, Port Said, Egypt

[7]Research Center for Physics (RCP), Department of Physics, Faculty of Science and Arts, Al-Baha University, Al Baha, Saudi Arabia

关键词: Fractional-order Jaulent-Miodek system;    Residual power series;    Laplace transform;    Caputo operator;    Fractional calculus;   

DOI  :  10.3389/fphy.2023.1148306

 received in 2023-01-19, accepted in 2023-06-22,  发布年份 2023

来源: Frontiers

【 摘 要 】

In this work, a novel technique is considered for analyzing the fractional-order Jaulent-Miodek system. The suggested approach is based on the use of the residual power series technique in conjunction with the Laplace transform and Caputo operator to solve the system of equations. The Caputo derivative is applied to express the fractional operator, which is more suitable for modeling real-world phenomena with memory effects. As a real example, the proposed technique is implemented for analyzing the Jaulent-Miodek equation under suitable initial conditions. Additionally, the proposed technique’s validity (accuracy and effectiveness) is examined by studying some numerical examples. The obtained solutions show that the suggested technique can provide a reliable solution for the fractional-order Jaulent-Miodek system, making it a helpful tool for researchers in different areas, including engineering, physics, and mathematics. We also analyze the absolute error between the derived approximations and the analytical solutions to check the validation and accuracy of the obtained approximations. Many researchers can benefit from both the obtained approximations and the suggested method in analyzing many complicated nonlinear systems in plasma physics and nonlinear optics, and many others.

【 授权许可】

Unknown   
Copyright © 2023 Hammad, Alrowaily, Shah, Ismaeel and A. El-Tantawy.