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<p>We study a partial preliminary group classification for some class of (1+3)-dimensional Monge–Ampère equations. We present the results obtained by analyzing one-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group <i>P</i>(1,4) and nonequivalent functional bases of the first-order differential invariants of these subalgebras.</p>

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On Partial Preliminary Group Classification for Some Class of (1+3)-Dimensional Monge–Ampère Equations. I. One-Dimensional Lie Algebras

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • V. M. Fedorchuk,
  • V. I. Fedorchuk

摘要

We study a partial preliminary group classification for some class of (1+3)-dimensional Monge–Ampère equations. We present the results obtained by analyzing one-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4) and nonequivalent functional bases of the first-order differential invariants of these subalgebras.