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A non-Archimedean approach to prolongation theory - MaRDI portal

A non-Archimedean approach to prolongation theory (Q1822281)

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scientific article; zbMATH DE number 4002693
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A non-Archimedean approach to prolongation theory
scientific article; zbMATH DE number 4002693

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    A non-Archimedean approach to prolongation theory (English)
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    1986
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    Some evolution equations possess infinite-dimensional prolongation Lie algebras which can be made finite-dimensional by using a bigger (non- Archimedean) field. The advantage of this is that convergence problems hardly exist in such a field. Besides that, the accompanying Lie groups can be easily constructed.
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    Korteweg-de Vries equation
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    nonlinear Schrödinger equation
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    evolution equations
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    infinite-dimensional prolongation Lie algebras
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    Lie groups
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