Multisymplectic geometry, covariant Hamiltonians, and water waves

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 125, Issue 3, 1999, Pages 553-575

  Marsden, Jerrold E ^a   Shkoller, Steve ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b CENTER FOR NONLINEAR STUDIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013039699     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004198002953     Document Type: Article

References (10)

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3. T. J. Bridges. Symplecity, reversibility and elliptic operators. Progress in Nonlinear Diff. Eq., 19 (1996), 1-20.
4. T. J. Bridges. Multi-symplectic structures and wave propagation. Math. Proc. Camb. Phil. Soc. 121 (1996), 147-190.
5. T. J. Bridges. Geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities. Proc. R. Soc. Lond. A (in press).
6. F. Cantrijn, L. A. Ibort and M. de León. Hamiltonian structures on multisymplectic manifolds. Rend. Sem. Mat. Torino (in press).
7. M. J. Gotay. A multisymplectic framework for classical field theory and the calculus of variations I: Covariant Hamiltonian formulation, in Mechanics, analysis and geometry: 200 Years After Lagrange, M. Francaviglia, Ed., 203-235 (North Holland, 1991).
8. M. Gotay, J. Isenberg, J. E. Marsden and R. Montgomery. Momentum maps and the Hamiltonian structure of classical relativistic field theories. (unpublished).
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10. G. B. Whitham. Linear and nonlinear waves (Wiley-Interscience, 1974).