A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. II.
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Displaying 1 – 13 of 13
Algorithmic construction of hyperfunction solutions to invariant differential equations on the space of real symmetric matrices.
Muro, Masakazu (2004)
Journal of Lie Theory
Automorphisms of spatial curves.
Bradáč, Ivan (1996)
Archivum Mathematicum
Automorphisms of spatial curves
Ivan Bradáč (1997)
Archivum Mathematicum
Automorphisms of curves , in are investigated; i.e. invertible transformations, where the coordinates of the transformed curve , depend on the derivatives of the original one up to some finite order . While in the two-dimensional space the problem is completely resolved (the only possible transformations are the well-known contact transformations), the three-dimensional case proves to be much more complicated. Therefore, results (in the form of some systems of partial differential equations...
Backlund Transformations for a Class of Systems of Differential Equation.
P.T. Campos, K. Tenenblat (1994)
Geometric and functional analysis
On the Transformations of Symplectic Expansions and the Respective Bäcklund Transformation for the KDV Equation
Khristov, E. (2003)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: Primary: 34B40; secondary: 35Q51, 35Q53By using the Deift–Trubowitz transformations for adding or removing bound states to the spectrum of the Schrödinger operator on the line we construct a simple algorithm allowing one to reduce the problem of deriving symplectic expansions to its simplest case when the spectrum is purely continuous, and vice versa. We also obtain the transformation formulas for the correponding recursion operator. As an illustration of...
Sur deux groupes infinis et continus
Władysław Ślebodziński (1969)
Applicationes Mathematicae
The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension
Anatoliy Samoilenko, Yarema Prykarpatsky, Anatoliy Prykarpatsky (2005)
Open Mathematics
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.
Transformations for hypersurfaces with vanishing Gauss-Kronecker curvature.
Corro, A.V., Ferreira, W., Tenenblat, K. (2005)
Beiträge zur Algebra und Geometrie
Tzitzeica-Bäcklund theorems.
Teleman, Kostake, Teleman, Ana-Maria (2005)
Balkan Journal of Geometry and its Applications (BJGA)
Unitons and their moduli.
Anand, Christopher Kumar (1996)
Electronic Research Announcements of the American Mathematical Society [electronic only]
О соответствии Беклунда
В.В. Жаринов (1989)
Matematiceskij sbornik
Представления Лакса и преобразования Беклунда для одномерных нелинейных эволюционных уравнений.
Г.А. Рудых, Э.И. Семенов (1995)
Sibirskij matematiceskij zurnal
Currently displaying 1 – 13 of 13
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