Faculty of Science, Yibin University, Yibin, 644000, China.
School of Mathematics and Statistics, Qujing Normal University, Qujing, 655011, China.
Sci Rep. 2023 Mar 10;13(1):3995. doi: 10.1038/s41598-023-31230-6.
In this paper, Mohand homotopy transform scheme is introduced to obtain the numerical solution of fractional Kundu-Eckhaus and coupled fractional Massive Thirring equations. The massive Thirring model consists of a system of two nonlinear complex differential equations, and it plays a dynamic role in quantum field theory. We combine Mohand transform with homotopy perturbation scheme and show the results in the form of easy convergence. The accuracy of the scheme is considerably increased by deriving numerical results in the form of a quick converge series. Some graphical plot distributions are presented to show that the present approach is very simple and straightforward.
在本文中，引入了 Mohand 同伦变换方案来获得分数阶 Kundu-Eckhaus 和耦合分数阶 Massive Thirring 方程的数值解。Massive Thirring 模型由两个非线性复微分方程组组成，在量子场论中起着动态作用。我们将 Mohand 变换与同伦摄动方案相结合，并以易于收敛的形式展示结果。通过以快速收敛级数的形式导出数值结果，大大提高了方案的准确性。给出了一些图形分布，以表明本方法非常简单直接。
