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<p>We conduct a symmetry analysis of the discrete Fitzhugh-Nagumo (FN) and the Kolmogorov Petrovskii Piskunov (KPP) equations for which the discrete versions are produced using a formal discretization method. The primary aspect of the procedure is to generate a symmetry algebra using a technique developed by Hydon. Then, we derive a method for the construction of conserved vectors or first integral vectors for the discrete equations.</p>

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First integrals, conserved vectors of nonlinear partial difference equations

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Akhtar Hussain,
  • A. H. Kara,
  • F. D. Zaman

摘要

We conduct a symmetry analysis of the discrete Fitzhugh-Nagumo (FN) and the Kolmogorov Petrovskii Piskunov (KPP) equations for which the discrete versions are produced using a formal discretization method. The primary aspect of the procedure is to generate a symmetry algebra using a technique developed by Hydon. Then, we derive a method for the construction of conserved vectors or first integral vectors for the discrete equations.