Symmetries and integration of differential equations.
Techniques complexes d'étude d'E.D.O.
The differential form method for finding symmetries.
The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension
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.
Структурная устойчивость управляемых систем ха ориентируемых поверхностях