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Abstract <p> We consider the problem of dimensional reduction of nonlinear differential equations on homogeneous spaces that have no symmetries in general. The proposed method allows passing to a differential equation with fewer independent variables and, in particular, to ordinary differential equations. </p>

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Dimensional reduction of nonlinear differential equations on homogeneous spaces

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • O. L. Kurnyavko,
  • I. V. Shirokov

摘要

Abstract

We consider the problem of dimensional reduction of nonlinear differential equations on homogeneous spaces that have no symmetries in general. The proposed method allows passing to a differential equation with fewer independent variables and, in particular, to ordinary differential equations.