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Abstract <p> We introduce a method for constructing negative symmetries from consistent triples of differential and differential-difference equations. We also study the relation between <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2673_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(3\)</EquationSource> </InlineEquation>D consistent equations in the discrete and continuous case. </p>

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The negative symmetry classification problem

  • 期刊论文

  • 发表日期：

    2025年8月23日

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  • M. P. Kolesnikov

摘要

Abstract

We introduce a method for constructing negative symmetries from consistent triples of differential and differential-difference equations. We also study the relation between \(3\) D consistent equations in the discrete and continuous case.