Miura-type transformations of nonlinear partial differential equations integrable by the \(\overline{\partial}\)-problem method (Q1567845)

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scientific article; zbMATH DE number 1465926
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Miura-type transformations of nonlinear partial differential equations integrable by the \(\overline{\partial}\)-problem method
scientific article; zbMATH DE number 1465926

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    Miura-type transformations of nonlinear partial differential equations integrable by the \(\overline{\partial}\)-problem method (English)
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    26 June 2000
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    This paper is devoted to Miura-type transformations for systems of nonlinear equations. More precisely the author considers nonlinear systems integrable by the \(\overline\partial\)-problem method using a generalized normalization function in the \(\overline\partial\)-problem. Some examples of these transformations for the Kadomtsev-Petviashvili equation are considered.
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    integrable systems
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    \(\overline\partial\)-problem
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    Miura-type transformations
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    Kadomtsev-Petviashvili equation
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