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In this paper, we investigate the conformable fractional Korteweg de Vries-Burgers equation, which describes the wave propagation in an elastic tube filled with liquid, a weak shock profile in plasmas, ferroelectricity, etc. We systematically construct the Lie symmetry algebra of infinitesimal generators associated with the symmetry groups that preserve the invariance of the studied system. Furthermore, symmetry reductions are performed, and exact solutions are investigated based on the auxiliary equation method.

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On the Conformable Fractional Korteweg de Vries-Burgers Equation: Invariant Analysis and Exact Solutions

  • 会议论文

  • 发表日期：

    2025年

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  • Mohamed Rahioui,
  • El Hassan El Kinani,
  • Abdelaziz Ouhadan

摘要

In this paper, we investigate the conformable fractional Korteweg de Vries-Burgers equation, which describes the wave propagation in an elastic tube filled with liquid, a weak shock profile in plasmas, ferroelectricity, etc. We systematically construct the Lie symmetry algebra of infinitesimal generators associated with the symmetry groups that preserve the invariance of the studied system. Furthermore, symmetry reductions are performed, and exact solutions are investigated based on the auxiliary equation method.