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Constructing solutions of the mKdV-equation - MaRDI portal

Constructing solutions of the mKdV-equation (Q923259)

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scientific article; zbMATH DE number 4169290
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Constructing solutions of the mKdV-equation
scientific article; zbMATH DE number 4169290

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    Constructing solutions of the mKdV-equation (English)
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    1990
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    It is studied the explicit construction of solutions for the modified Korteweg-de Vries equation, starting with a solution of the Korteweg-de Vries equation. Such solutions are obtained by using the commutation methods underlying Miura's transformation. The commutation for one- dimensional systems has recently become popular in connection with supersymmetric quantum mechanics.
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    modified Korteweg-de Vries equation
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    commutation
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    Miura's transformation
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