Scholarlink

<p>The main focus of this study is the investigation of a time fractional higher-order Broer-Kaup (BK) system which, to the best of our knowledge, has not been reported previously in terms of Riemann-Liouville (RL) and Caputo fractional derivatives. Performing the similarity reduction formalism, the time fractional higher-order BK system is reduced into a system of fractional nonlinear ODEs. Moreover, the power series solutions are derived, including their convergence analysis. By considering the obtained symmetries, conserved quantities of the system under consideration are formulated based on the nonlinear self-adjointness property for fractional differential equations, and the nontriviality property is also checked. In view of the Sumudu-Adomian decomposition method, we obtain a set of analytical solutions. To show the effectiveness of this employed method, we analyze the influence of the fractional order and explore the dynamic behavior of the constructed solutions through graphical representations.</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 symmetry reductions, conservation laws and some analytical solutions for a time fractional higher-order BK system

  • 期刊论文

  • 发表日期：

    2026年7月23日

查看全文
  • Mohamed Rahioui,
  • El Hassan El Kinani,
  • Abdelaziz Ouhadan

摘要

The main focus of this study is the investigation of a time fractional higher-order Broer-Kaup (BK) system which, to the best of our knowledge, has not been reported previously in terms of Riemann-Liouville (RL) and Caputo fractional derivatives. Performing the similarity reduction formalism, the time fractional higher-order BK system is reduced into a system of fractional nonlinear ODEs. Moreover, the power series solutions are derived, including their convergence analysis. By considering the obtained symmetries, conserved quantities of the system under consideration are formulated based on the nonlinear self-adjointness property for fractional differential equations, and the nontriviality property is also checked. In view of the Sumudu-Adomian decomposition method, we obtain a set of analytical solutions. To show the effectiveness of this employed method, we analyze the influence of the fractional order and explore the dynamic behavior of the constructed solutions through graphical representations.