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Loewner Transformations: Adjoint and Binary Darboux Connections

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It is shown that a class of finite Backlund transformations introduced by Loewner in 1950 in a gasdynamics context may be represented as compound gauge and Darboux-type transformations. This result is used to construct iterated versions of the Loewner transformations based on established procedures in soliton theory.
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Document Type: Research Article

Affiliations: University of New South Wales

Publication date: May 1, 1998

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