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

Autor: Samoilenko, Anatoliy, Prykarpatsky, Yarema, Prykarpatsky, Anatoliy
Zdroj: Central European Journal of Mathematics; Sep2005, Vol. 3 Issue 3, p529-557, 29p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index