Scholarlink

<p>In this paper, Lie symmetry analysis method is applied to (2+1)-dimensional nonlinear fractional Fokas system in monomode optical fibers. We obtain all the Lie symmetries and reduce the (2+1)-dimensional fractional partial differential equations with Riemann-Liouville fractional derivative to (1+1)-dimensional counterparts with Erdélyi-Kober fractional derivative. Then we obtain the power series solutions and prove their convergence. The dynamic behaviors of the truncated power series solutions for some different fractional orders are presented graphically. In addition, the conservation laws for the governing model are constructed by using the generalization of the Noether operators and the new conservation theorem.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Lie symmetries, power series solutions and conservation laws of (2+1)-dimensional nonlinear fractional Fokas system

  • 期刊论文

  • 发表日期：

    2025年1月20日

查看全文
  • Jicheng Yu,
  • Yuqiang Feng

摘要

In this paper, Lie symmetry analysis method is applied to (2+1)-dimensional nonlinear fractional Fokas system in monomode optical fibers. We obtain all the Lie symmetries and reduce the (2+1)-dimensional fractional partial differential equations with Riemann-Liouville fractional derivative to (1+1)-dimensional counterparts with Erdélyi-Kober fractional derivative. Then we obtain the power series solutions and prove their convergence. The dynamic behaviors of the truncated power series solutions for some different fractional orders are presented graphically. In addition, the conservation laws for the governing model are constructed by using the generalization of the Noether operators and the new conservation theorem.