Hamiltonian formulation of the modified Hasegawa Mima equation
arXiv:1309.4762 · doi:10.1016/j.physleta.2014.01.048
Abstract
We derive the Hamiltonian structure of the modified Hasegawa-Mima equation from the ion fluid equations applying Dirac's theory of constraints. We discuss the Casimirs obtained from the corresponding Poisson structure.
References in corpus (4)
- Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability - Theory
- Hamiltonian derivation of the Charney-Hasegawa-Mima equation
- On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
- Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems
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