On Symmetry Reduction of the (1 + 3)-Dimensional Inhomogeneous Monge-Ampère Equation to the First-Order ODEs

• 作者: Vasyl M. Fedorchuk Volodymyr I. Fedorchuk
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Symmetry Reduction Invariant Solutions Monge-Ampère Equation Classification of Lie Algebras Poincaré Group P(1 4)
• 年，卷（期）: 2020,（11）
• 页码范围: 1178-1195
• 页数: 18页
• 分类号: O17

摘要

We present the results obtained concerning the classification of symmetry reduction of the (1 + 3)-dimensional inhomogeneous <span style="white-space:nowrap;">Monge-Ampère</span> equation to first-order ODEs. Some classes of the invariant solutions are constructed.