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<p>In this paper, one class of reductions of modified KP hierarchy is introduced, which is called the BC<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13324_2025_1052_Article_IEq1.gif" Format="GIF" Height="8" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_r\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mi>r</mi> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>–modified KP hierarchy <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13324_2025_1052_Article_IEq5.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\((r\ge 0)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>r</mi> <mo>≥</mo> <mn>0</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> here, since it contains modified BKP and modified CKP hierarchies as special cases. For BC<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13324_2025_1052_Article_IEq1.gif" Format="GIF" Height="8" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_r\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mi>r</mi> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>–modified KP hierarchy, we discuss Lax equations and bilinear descriptions, where the corresponding equivalence is also investigated.</p>

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BC\(_r\): reductions of modified KP hierarchy

  • 期刊论文

  • 发表日期：

    2025年4月6日

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  • Haiyan Kang,
  • Shen Wang,
  • Jipeng Cheng

摘要

In this paper, one class of reductions of modified KP hierarchy is introduced, which is called the BC \(_r\) r –modified KP hierarchy \((r\ge 0)\) ( r ≥ 0 ) here, since it contains modified BKP and modified CKP hierarchies as special cases. For BC \(_r\) r –modified KP hierarchy, we discuss Lax equations and bilinear descriptions, where the corresponding equivalence is also investigated.