The Hamiltonian-adjoint equation and perturbation theory

Physica Scripta

Volumn 58, Issue 2, 1998, Pages 97-101

  Larsson, Jonas ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001758779     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-8949/58/2/001     Document Type: Article

References (16)

1. Olver, P. J., "Applications of Lie Groups to Differential Equations" (Springer-Verlag, New York 1993), ch. 7.
2. Morrison, P. J., in "Poisson Brackets for Fluids and Plasmas", AIP Conf. Proc. No. 88, AIP, New York, 1982, p. 13.
3. Marsden, J. E. and Ratiu, T. S., "An Introduction to Mechanics and Symmetry" (Springer-Verlag 1994).
4. Salmon, R., "Hamiltonian Fluid Mechanics", in: Ann Rev. Fluid Mech., vol. 20, Annual Reviews, 1988, p. 225.
5. Shepherd, T. G., "Symmetries, Conservation Laws, and Hamiltonian Structure in Geophysical Fluid Dynamics", in: "Advances in Geophysics" (Academic Press 1990), vol. 32, p. 287.
6. Holm, D. D., Marsden, J. E., Ratiu, T. and Weinstein, A., Phys. Rep. 123, 1 (1985).
7. Olver, P., "Hamiltonian Perturbation Theory", in: Fluids and Plasmas: Geometry and Dynamics, Contemporary Mathematics 28, 231 (1984).
8. Zakkharov, V. E., Musher, S. L. and Rubenchik, A. M., Phys. Rep. 129, 285 (1985).
9. Kaufman, A. N., "Phase-Space Plasma-Action Principles, Linear Mode Conversions, and the Generalized Fourier Transform", in: "Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids" (World Scientific, Singapore 1991).
10. Littlejohn, R. G., J. Math. Phys. 23, 742 (1982).
11. Littlejohn, R. G., J. Plasma Phys. 29, 111 (1983).
12. Larsson, J., J. Plasma Phys. 48, 13 (1992).
13. Larsson, J., J. Plasma Phys. 49, 255 (1993);
14. Larsson, J., J. Plasma Phys. 55, 235 (1996);
15. Larsson, J., J. Plasma Phys. 55, 261 (1996);
16. Larsson, J., J. Plasma Phys. 55, 279 (1996).