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Abstract <p>The potential functions method is used to classify sets of first-order partial differential equations. This method is based on the representation of solutions of sets of differential equations through one or more auxiliary functions that are solutions of another set of differential equations.</p>

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On the Classification of Sets of Partial Differential Equations of the First Order

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • I. E. Pleshchinskaya

摘要

Abstract

The potential functions method is used to classify sets of first-order partial differential equations. This method is based on the representation of solutions of sets of differential equations through one or more auxiliary functions that are solutions of another set of differential equations.