Geometry of jet bundles and the structure of lagrangian and hamiltonian formalisms

作者: B. A. Kupershmidt

DOI: 10.1007/BFB0092026

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参考文章(13)
Hubert Goldschmidt, Integrability criteria for systems of nonlinear partial differential equations Journal of Differential Geometry. ,vol. 1, pp. 269- 307 ,(1967) , 10.4310/JDG/1214428094
B. A. Kupershmidt, Yu. I. Manin, Equations of long waves with a free surface. II. Hamiltonian structure and higher equations Functional Analysis and Its Applications. ,vol. 12, pp. 20- 29 ,(1978) , 10.1007/BF01077560
V V Lychagin, LOCAL CLASSIFICATION OF NON-LINEAR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS Russian Mathematical Surveys. ,vol. 30, pp. 105- 175 ,(1975) , 10.1070/RM1975V030N01ABEH001402
B. A. Kupershmidt, Lagrangian formalism in variational calculus Functional Analysis and Its Applications. ,vol. 10, pp. 147- 149 ,(1976) , 10.1007/BF01077947
A M Vinogradov, I S Krasil'shchik, what is the Hamiltonian Formalism Russian Mathematical Surveys. ,vol. 30, pp. 177- 202 ,(1975) , 10.1070/RM1975V030N01ABEH001403
A M Vinogradov, B A Kupershmidt, THE STRUCTURES OF HAMILTONIAN MECHANICS Russian Mathematical Surveys. ,vol. 32, pp. 177- 243 ,(1977) , 10.1070/RM1977V032N04ABEH001642
L.J.F. Broer, J.A. Kobussen, Canonical transformations and generating functionals Physica D: Nonlinear Phenomena. ,vol. 61, pp. 275- 288 ,(1972) , 10.1016/0031-8914(72)90073-0
Demeter Krupka, Lagrange theory in fibered manifolds Reports on Mathematical Physics. ,vol. 2, pp. 121- 133 ,(1971) , 10.1016/0034-4877(71)90025-5
Robert Hermann, Currents in Classical Field Theories Journal of Mathematical Physics. ,vol. 13, pp. 97- 99 ,(1972) , 10.1063/1.1665858
Hubert Goldschmidt, Shlomo Sternberg, The Hamilton-Cartan formalism in the calculus of variations Annales de l’institut Fourier. ,vol. 23, pp. 203- 267 ,(1973) , 10.5802/AIF.451