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Loewner Transformations: Adjoint and Binary Darboux Connections
Author(s) -
Schief W. K.,
Rogers C.
Publication year - 1998
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00082
Subject(s) - mathematics , binary number , pure mathematics , algebra over a field , darboux integral , mathematical analysis , geometry , arithmetic , curvature
It is shown that a class of finite Bäcklund 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.