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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Spencer Sequence and Variational Sequence,The purpose of this paper is to revisit the construction of the variational sequence existing within the formal calculus of variations, in order to stabilize the order of jets involved and to establish a link with the dual of the Spencer sequence existing within the formal theory of systems of partial differential equations.

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Decay of Conservation Laws and Their Generating Functions,Quantities which are conserved in nondissipative media decay in the presence of dissipation. The velocity of such a decay (or the ‘balance law’) may be found explicitly using the generating function of the conservation law. The general approach is illustrated with a system of MHD equations for incompressible magnetofluids.

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https://doi.org/10.1007/978-1-4842-7434-7 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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Econometrics and Economic Theorymology 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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Errors in Variables in Econometricshe 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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Generalized Multiplicative Error Models,te, I give an explicit .-matrix for this multiparameter family. This gives additional information on the nature of this family and facilitates some calculations. This explicit .-matrix satisfies the Yang-Baxter equation. The centre of the paper is Section 3 which describes all solutions of the YBE u

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Faik Bilgili,Erhan Mugaloglu,Emrah Koçaktems. As such, we give the correspondence between flag varieties and Darboux transformations for the KP hierarchy and the .th KdV hierarchy. We construct solutions of the .th MKdV hierarchy from the space of periodic flags and we treat the geometric interpretation of the Miura transform. Finally, we

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