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Volumn 35, Issue 4, 2000, Pages 333-366

A variational approach to second-order multisymplectic field theory

Author keywords

49S05; 70H30; Classical field theory; Multisymplectic geometry; Shallow water equations

Indexed keywords


EID: 0043124933     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(00)00012-7     Document Type: Article
Times cited : (42)

References (13)
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    • Garcia, P.L.1
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    • 0043239688 scopus 로고
    • Higher order analytical dynamics
    • in: L. Lara-Carrero, J. Lewowicz (Eds.) Equinoccio, Caracas
    • P.L. Garcia, J. Muñoz, Higher order analytical dynamics, in: L. Lara-Carrero, J. Lewowicz (Eds.), Dynamical Systems and Partial Differential Equations, Equinoccio, Caracas, 1984, pp. 19-47.
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  • 7
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    • La probléme de la régularité dans le calcul des variations du second ordre
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    • Garcia, P.L.1    Muñoz, J.2
  • 8
    • 0000667858 scopus 로고
    • A multisymplectic approach to the KdV equation
    • in: K. Bleuler, M. Werner (Eds.) Kluwer Academic Publishers, Amsterdam
    • M.J. Gotay, A multisymplectic approach to the KdV equation, in: K. Bleuler, M. Werner (Eds.), Differential Geometric Methods in Mathematical Physics, Kluwer Academic Publishers, Amsterdam, 1988, pp. 295-305.
    • (1988) Differential Geometric Methods in Mathematical Physics , pp. 295-305
    • Gotay, M.J.1
  • 9
    • 0002956967 scopus 로고
    • A multisymplectic framework for classical field theory and the calculus of variations I: covariant Hamiltonian formulation
    • in: M. Francaviglia (Ed.) North-Holland, Amsterdam
    • M.J. Gotay, A multisymplectic framework for classical field theory and the calculus of variations I: covariant Hamiltonian formulation, in: M. Francaviglia (Ed.), Mechanics, Analysis and Geometry: 200 Years After Lagrange, North-Holland, Amsterdam, 1991, pp. 203-235.
    • (1991) Mechanics, Analysis and Geometry: 200 Years after Lagrange , pp. 203-235
    • Gotay, M.J.1
  • 10
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    • A multisymplectic framework for classical field theory and the calculus of variations II: Space + time decomposition
    • Gotay M.J. A multisymplectic framework for classical field theory and the calculus of variations II: space + time decomposition. Differential Geom. Appl. 1:1991;375-390.
    • (1991) Differential Geom. Appl. , vol.1 , pp. 375-390
    • Gotay, M.J.1
  • 11
    • 0042738458 scopus 로고    scopus 로고
    • Momentum maps and the Hamiltonian structure of classical relativistic field theories I
    • in press
    • M. Gotay, J. Isenberg, J.E. Marsden, Momentum maps and the Hamiltonian structure of classical relativistic field theories I, Mem. Amer. Math. Soc., 2000, in press.
    • (2000) Mem. Amer. Math. Soc.
    • Gotay, M.1    Isenberg, J.2    Marsden, J.E.3
  • 12
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    • Multisymplectic geometry, variational integrators, and nonlinear PDEs
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    • Multisymplectic geometry, covariant Hamiltonians and water waves
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    • Marsden, J.E.1    Shkoller, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.