On the intrinsic connections of systems of partial differential equations. III (Q1567721)

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scientific article; zbMATH DE number 1465836
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On the intrinsic connections of systems of partial differential equations. III
scientific article; zbMATH DE number 1465836

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    On the intrinsic connections of systems of partial differential equations. III (English)
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    26 June 2000
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    For parts I and II see [ibid. 38, No. 2, 213-223 (1998; Zbl 0920.35009)] and [ibid. 38, No. 3, 362-378 (1998; Zbl 0930.35018)]. This paper concerns intrinsic connections of so-called Korteweg-de Vries differential equations, which are defined by the author as submanifolds of the prolongation space \(J_3E\) of a three-dimensional fiber bundle \(\pi: E\to M\) over a two-dimensional basis \(M\).
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    Korteweg-de Vries differential equations
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    three-dimensional fiber bundle
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    two-dimensional basis
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