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Several kinds of Bäcklund transformations of the cylindrical KdV equation which contains a zero degree term f(t) - MaRDI portal

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Several kinds of Bäcklund transformations of the cylindrical KdV equation which contains a zero degree term f(t) (Q1100637)

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scientific article; zbMATH DE number 4044353
Language Label Description Also known as
English
Several kinds of Bäcklund transformations of the cylindrical KdV equation which contains a zero degree term f(t)
scientific article; zbMATH DE number 4044353

    Statements

    title
    Several kinds of Bäcklund transformations of the cylindrical KdV equation which contains a zero degree term f(t) (English)
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    author
    Xinshen Gu
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    publication date
    1985
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    review text
    By means of discussing the Painlevé property of partial differential equations, we obtain the Lax pairs of the cylinder KdV equations with 0- th order term and some classes of Bäcklund transformations, and show that, when the 0-th order term disappears, the Bäcklund transformation of the concerned equation will then ``degenerate'' to the Bäcklund transformation of cylinder KdV equation. At the end of this paper several concrete examples are given.
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    zbMATH Keywords
    Painlevé property
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    Lax pairs
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    cylinder KdV equations
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    Bäcklund transformations
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    Identifiers

    DOI
    10.1007/BF01666744
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    zbMATH DE Number
    4044353
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    OpenAlex ID
    W2090532618
    0 references
     
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