Titlebook: Geometric and Algebraic Structures in Differential Equations; P. H. M. Kersten,I. S. Krasil’Shchik Book 1995 Kluwer Academic Publishers 19

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書目名稱Geometric and Algebraic Structures in Differential Equations影響因子(影響力)學(xué)科排名




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書目名稱Geometric and Algebraic Structures in Differential Equations讀者反饋




書目名稱Geometric and Algebraic Structures in Differential Equations讀者反饋學(xué)科排名

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Geometric and Algebraic Structures in Differential Equations978-94-009-0179-7

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Introduction, arose in summer 1992, when one of the editors (P.K.) was visiting the other editor (J.K.) in Moscow. The basic idea was to bring closer and intensify activities of mathematicians and mathematical physicists doing research in this field. The decision was taken that it would be a small workshop for s

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The Cohomology of Invariant Variational Bicomplexes,mology of the Γ invariant variational bicomplex (Ω.(..(.)),d.,d.) and the associated Γ invariant Euler-Lagrange complex. As one application of our general theory, we completely solve the local invariant inverse problem of the calculus of variations for finite-dimensional infinitesimal Lie transforma

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The Use of Factors to Discover Potential Systems or Linearizations,he notion of potential conservation laws, arising from specific types of factors, which lead to useful potential systems. Point symmetries of a potential system could yield nonlocal symmetries of the given system and its linearization by a noninvertible mapping. We also introduce the notion of linea

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A Method for Computing Symmetries and Conservation Laws of Integro-Differential Equations,equation to a system of boundary differential equations and in computing symmetries and conservation laws of this system. A geometry of boundary differential equations is constructed like the differential case. Results of the computation for the Smoluchowski’s coagulation equation are given.

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Graded Differential Equations and Their Deformations: A Computational Theory for Recursion Operatorraded Fr?licher-Nijenhuis bracket cohomological invariants ..(.) are related to each object (.,?) of the theory. Within this framework, ...) generalizes the Lie algebra of symmetries for PDE’s, while ..(.) are identified with equivalence classes of infinitesimal deformations. It is shown that elemen