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On Exact Solutions to Multidimensional Generalized Monge–Ampère Equation

  • 期刊论文

  • 发表日期：

    2024年10月1日

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  • A. A. Kosov,
  • E. I. Semenov

摘要

Abstract

Exact solutions to some multidimensional generalized Monge–Ampère equationsare found. These solutions are a superposition of a quadratic form of spatial variables andsolutions to nonlinear ordinary differential equations generated by the Monge–Ampèreequations.