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Lie symmetry analysis has been applied to the extended Boiti-Leon-Manna-Pempinelli (eBLMP) equation. This system illustrates the exchange of information between two waves with distinct dispersion characteristics. The optimal system of the corresponding Lie algebra has been constructed. The equation considered has been reduced into a simpler form for the computation of analytical solutions. The novelty of this research lies in constructing the optimal system of subalgebras in one dimension using the adjoint action approach. To analyze and understand the eBLMP more clearly, graphs have been plotted. Conservation laws have also been derived.

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The Conserved Vectors and Invariance Analysis of the (2+1) Extended Boiti-Leon-Manna-Pempinelli Equation Through the Lie Group Theoretic Approach

  • 会议论文

  • 发表日期：

    2026年

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  • Akshita Bhardwaj,
  • Shalini Yadav,
  • Muhammad Junaid-U-Rehman,
  • Rajan Arora

摘要

Lie symmetry analysis has been applied to the extended Boiti-Leon-Manna-Pempinelli (eBLMP) equation. This system illustrates the exchange of information between two waves with distinct dispersion characteristics. The optimal system of the corresponding Lie algebra has been constructed. The equation considered has been reduced into a simpler form for the computation of analytical solutions. The novelty of this research lies in constructing the optimal system of subalgebras in one dimension using the adjoint action approach. To analyze and understand the eBLMP more clearly, graphs have been plotted. Conservation laws have also been derived.