## Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems: Proceedings of the Aip Conference |

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### Contents

GAUGE GROUPS AND POISSON BRACKETS FOR INTERACTING PARTICLES | 1 |

POISSON BRACKETS FOR FLUIDS AND PLASMAS | 42 |

DYNAMICAL SYSTEMS DEFINED ON INFINITE DIMENSIONAL LIE ALGEBRAS | 67 |

Copyright | |

18 other sections not shown

### Common terms and phrases

1982 American Institute Ablowitz analytic angular momentum asymptotic canonical Casimir functions coefficients completely integrable conjugate conservation laws consider coordinates Copyright 1982 American defined denote density depends derivatives differential dimensional dynamical system eigenvalue problem energy enstrophy entropy equations of motion evolution equations example finite flow formulation gauge group given gradient Hamilton's equations Hamilton's principle Hamiltonian system Henon-Heiles System Hydrodynamics initial conditions Institute of Physics interactions invariant inverse Jacobi identity Lagrangian Lax pair Lett Lie algebra linear magnetic field Manakov Marsden Math Mathematics matrix Maxwell's equations Morrison NLPDE nonlinear obtain operator orbits Painleve parameter particle phase space Phys plasma Poisson bracket Poisson manifold Poisson structure Poisson tensor potential relation result satisfies the Jacobi scalar Segur singularities soliton solution symplectic manifolds theorem theory tion transformation two-dimensional vanish variables vector field velocity vorticity wave Weinstein