期刊
OPTIK
卷 243, 期 -, 页码 -出版社
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2021.167461
关键词
Ancient Chinese algorithm; Ying Bu Zu Shu; Fractional derivative; Fokas-Lenells equation; The Nine Chapters on the Mathematical Art
类别
资金
- Program of Henan Polytechnic University [B201840]
- Fundamental Research Funds for the Universities of Henan Province [NSFRF210324]
- Innovative Scientists and Technicians Team of Henan Provincial High Education [21IRTSTHN016]
- Key Project of Scientific and Technology Research of Henan Province [212102210224]
This study applied an ancient Chinese algorithm called Ying Bu Zu Shu to find periodic solution of the time-space fractional modified form of the complex nonlinear Fokas-Lenells equation, proving the effectiveness and reliability of the proposed method. By plotting the solutions with different fractional orders in 2-dimensional and 3-dimensional surfaces, it provides valuable insights for the study of periodic solutions in physics.
As is known to all, the complex nonlinear Fokas-Lenells equation is widely used to describe the propagation of short pulses in optical fibers. In this work, we aim to study its time-space fractional modified form. An ancient Chinese algorithm called the Ying Bu Zu Shu(), which is from an ancient Chinese mathematics monograph-The Nine Chapters on the Mathematical Art() in about second century AD, is used to find its periodic solution. The solution obtained by our proposed method is the same as the one obtained via the variational method, which strongly proves the effectiveness and reliability of the proposed method. Finally, we plot the solution with different fractional orders in the form of 2-dimensional and 3-dimensional surfaces. The finding in this work is expected to be helpful for the study of the periodic solution in physics.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据