Krasilʹshchik, I. S. (Iosif Semenovich)
Overview
Works:  18 works in 39 publications in 2 languages and 812 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Translator 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
I. S Krasilʹshchik
Symmetries and conservation laws for differential equations of mathematical physics
by I. S Krasil'Shchik(
Book
)
3 editions published in 1999 in English and held by 246 WorldCat member libraries worldwide
3 editions published in 1999 in English and held by 246 WorldCat member libraries worldwide
Secondary calculus and cohomological physics : proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 2431, 1997, Moscow, Russia
by Conference on Secondary Calculus and Cohomological Physics(
Book
)
8 editions published in 1998 in English and held by 220 WorldCat member libraries worldwide
8 editions published in 1998 in English and held by 220 WorldCat member libraries worldwide
Geometry of jet spaces and nonlinear partial differential equations
by
I. S Krasilʹshchik(
Book
)
6 editions published between 1985 and 1986 in English and Russian and held by 141 WorldCat member libraries worldwide
6 editions published between 1985 and 1986 in English and Russian and held by 141 WorldCat member libraries worldwide
Symmetries and recursion operators for classical and supersymmetric differential equations
by
I. S Krasilʹshchik(
Book
)
6 editions published between 2000 and 2011 in English and held by 105 WorldCat member libraries worldwide
This book is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), both in classical and in super, or graded, versions. It contains an original theory of FrölicherNijenhuis brackets which is the basis for a special cohomological theory naturally related to the equation structure. This theory gives rise to infinitesimal deformations of PDE, recursion operators being a particular case of such deformations. Efficient computational formulas for constructing recursion operators are deduced and, in combination with the theory of coverings, lead to practical algorithms of computations. Using these techniques, previously unknown recursion operators (together with the corresponding infinite series of symmetries) are constructed. In particular, complete integrability of some superequations of mathematical physics (Kortewegde Vries, nonlinear Schrödinger equations, etc.) is proved. Audience: The book will be of interest to mathematicians and physicists specializing in geometry of differential equations, integrable systems and related topics
6 editions published between 2000 and 2011 in English and held by 105 WorldCat member libraries worldwide
This book is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), both in classical and in super, or graded, versions. It contains an original theory of FrölicherNijenhuis brackets which is the basis for a special cohomological theory naturally related to the equation structure. This theory gives rise to infinitesimal deformations of PDE, recursion operators being a particular case of such deformations. Efficient computational formulas for constructing recursion operators are deduced and, in combination with the theory of coverings, lead to practical algorithms of computations. Using these techniques, previously unknown recursion operators (together with the corresponding infinite series of symmetries) are constructed. In particular, complete integrability of some superequations of mathematical physics (Kortewegde Vries, nonlinear Schrödinger equations, etc.) is proved. Audience: The book will be of interest to mathematicians and physicists specializing in geometry of differential equations, integrable systems and related topics
Geometric and algebraic structures in differential equations
by
P. H. M Kersten(
Book
)
2 editions published in 1995 in English and held by 46 WorldCat member libraries worldwide
The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Kortewegde Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the stateoftheart of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics
2 editions published in 1995 in English and held by 46 WorldCat member libraries worldwide
The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Kortewegde Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the stateoftheart of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics
Vvedenie v geometrii︠u︡ nelineĭnykh different︠s︡ialʹnykh uravneniĭ
by
A. M Vinogradov(
Book
)
1 edition published in 1986 in Russian and held by 19 WorldCat member libraries worldwide
1 edition published in 1986 in Russian and held by 19 WorldCat member libraries worldwide
Cohomological analysis of partial differential equations and secondary calculus
by
A. M Vinogradov(
Book
)
1 edition published in 2001 in English and held by 12 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 12 WorldCat member libraries worldwide
Homological methods in equations of mathematical physics
by
I. S Krasilʹshchik(
Book
)
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
Simmetrii i zakony sokhranenii︠a︡ uravneniĭ matematicheskoĭ fiziki
(
Book
)
1 edition published in 1997 in Russian and held by 4 WorldCat member libraries worldwide
1 edition published in 1997 in Russian and held by 4 WorldCat member libraries worldwide
Poisson structures on nonlinear evolution equations
by
I. S Krasilʹshchik(
Book
)
2 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
Graded FrölicherNijenhuis brackets and the theory of recursion operators for super differential equations
by
P. H. M Kersten(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Sistemy uravneniĭ s chastnymi proizvodnymi i psevdogruppy Li = Systems of partial differential equations and Lie pseudogroups
by
J. F Pommaret(
Book
)
1 edition published in 1983 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1983 in Russian and held by 2 WorldCat member libraries worldwide
Geometry of PDE in action: zerocurvature representations, recursion operators, and control systems
by
Harmonic Analysis on Homogeneous Spaces and Quantization Workshop Representations of Lie Groups(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Deformations and recursion operators for evolution equations
by
I. S Krasilʹshchik(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Special issue on geometrical aspects of nonlinear differential equations
(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Genetika i životnaâ kletka
by
Mario Terzi(
Book
)
1 edition published in 1977 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1977 in Russian and held by 1 WorldCat member library worldwide
Simmetrii i zakony sohraneniâ uravnenij matematičeskoj fiziki
(
Book
)
1 edition published in 1997 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1997 in Russian and held by 1 WorldCat member library worldwide
Special issue on algebraic aspects of differential calculus
(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Vinogradov, A. M. (Aleksandr Mikhaĭlovich) Author Editor
 Bocharov, A. V. Translator
 Henneaux, Marc Editor
 Lychagin, V. V. (Valentin Vasilʹevich)
 Kersten, P. H. M. Author Editor
 Verbovetsky, A. M. Translator
 Institut diffeotopii (Akademii︠a︡ estestvennykh nauk Rossiĭskoĭ Federat︠s︡ii)
 Universiteit Twente Faculty of Applied Mathematics
 American Mathematical Society
 Pommaret, J. F. 1945 Author
Associated Subjects
Algebra Algebraic topology Conservation laws (Mathematics) Differential equations Differential equations, Nonlinear Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsNumerical solutions Electronic data processing Geometry Geometry, Algebraic Geometry, Differential Global differential geometry Homology theory Jets (Topology) Lie groups Mathematical physics Mathematics Pseudogroups Quantum field theory Symmetry Symmetry (Physics)
Alternative Names
Krasilchtchik Iosif Semenovitch
Krasil'ščik, I. S.
Krasilʹščik, I. S. 1948
Krasilʹščik, Iosif Semenovič
Krasil'ščik, Iosif Semenovič. [t]
Krasil'shchik, I.S.
Krasilʹshchik, I. S. 1948
Krasilshchik, Iosif Semenivich.
Krasilʹshchik Iosif Semenovich
Krasilʹshchik, Iosif Semenovich 1948
Krasilʹshchik, Joseph
Krasilʹshchik, Joseph 1948
Krasil'ŝik, I. S.
Красильщик, Иосиф Семенович.
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