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The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension

✍ Scribed by Anatoliy Mykhaylovich Samoilenko; Yarema Anatoliyovych Prykarpatsky; Anatoliy Karolevych Prykarpatsky

Book ID: 111487656
Publisher: SP Versita
Year: 2005
Tongue: English
Weight: 378 KB
Volume: 3
Category: Article
ISSN: 1895-1074
DOI: 10.2478/bf02475922

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✦ Synopsis

The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, related with selfdual Yang-Mills eqautions. The construction of soliton-like solutions to the related set of nonlinear dynamical system is discussed.

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