Speciality:
01.04.02 (Theoretical physics)
Birth date:
10.02.1948
E-mail: Website: https://www.diffiety.ac.ru/curvita/isk.htm Keywords: geometry of nonlinear differential equations; application of homological methods to partial differential equations.
Subject:
A theory of nonlocal symmetries and conservation laws for nonlinear differential equations was constructed (jointly with A. M. Vinogradov). A cohomological theory of recursion operators for symmetries of partial differential equations was constructed. New recursion operators for supersymmetric integrable systems were found (jointly with P. H. M. Kersten).
Main publications:
Krasil'shchik I. S., Kersten P. H. M., Symmetries and recursion operators for classical and supersymmetric differential equations, Kluwer Acad. Publ., Dordrecht, 2000
Krasil'shchik I. S., Vinogradov A. M. (eds.), Symmetries and conservation laws for differential equations of mathematical physics, Amer. Math. Soc., Providence, RI, 1999
Krasil'shchik I. S., “Cohomology background in geometry of PDE”, Secondary calculus and cohomological physics (Moscow, 1997), Contemp. Math., 219, 1998, 121–139
Krasil'shchik I. S., “Some new cohomological invariants for nonlinear differential equations”, Differential Geom. Appl., 2:4 (1992), 307–350
Krasil'shchik I. S., Lychagin V. V., Vinogradov A. M., Geometry of jet spaces and nonlinear partial differential equations, Gordon and Breach Science Publishers, New York, 1986
