Krasilʹshchik, I. S. (Iosif Semenovich)Overview
Publication Timeline
Most widely held works by
I. S Krasilʹshchik
Symmetries and conservation laws for differential equations of mathematical physics
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Book
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3 editions published in 1999 in English and held by 241 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
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Book
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7 editions published in 1998 in English and held by 210 WorldCat member libraries worldwide
Geometry of jet spaces and nonlinear partial differential equations
by I. S Krasilʹshchik
(
Book
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6 editions published between 1985 and 1986 in English and held by 142 WorldCat member libraries worldwide
Symmetries and recursion operators for classical and supersymmetric differential equations
by I. S Krasilʹshchik
(
Book
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4 editions published between 2000 and 2011 in English and held by 103 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
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Book
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6 editions published between 1995 and 1996 in English and held by 35 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
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Book
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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
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Book
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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
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1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
Simmetrii i zakony sokhranenii︠a︡ uravneniĭ matematicheskoĭ fiziki
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Book
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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
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2 editions published in 1996 in English and held by 3 WorldCat member libraries worldwide
Vvedenie v geometriû nelinejnyh differencialʹnyh uravnenij
by Aleksandr Mikhailovich Vinogradov
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Book
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2 editions published in 1986 in Russian and held by 3 WorldCat member libraries worldwide
Deformations and recursion operators for evolution equations
by I. S Krasilʹshchik
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Book
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2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
Graded FrölicherNijenhuis brackets and the theory of recursion operators for super differential equations
by P. H. M Kersten
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Book
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2 editions published in 1993 in English and held by 1 WorldCat member library worldwide
Genetika i životnaâ kletka
by Mario Terzi
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Book
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1 edition published in 1977 in Russian and held by 1 WorldCat member library worldwide
Simmetrii i zakony sohraneniâ uravnenij matematičeskoj fiziki
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Book
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1 edition published in 1997 in Russian and held by 1 WorldCat member library worldwide more
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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) Mathematical physics Mathematics Quantum field theory Symmetry Symmetry (Physics)

Alternative Names
Krasilchtchik Iosif Semenovitch
Krasil'ščik, I. S.
Krasil'ščik, Iosif Semenovič. [t]
Krasil'shchik, I.S.
Krasilshchik, Iosif Semenivich.
Krasilʹshchik, Iosif Semenovich
Krasilʹshchik, Joseph
Krasil'ŝik, I. S.
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