Abstract
Many nonlinear equations arising in plasma physics, hydrodynamics, and solid-state physics can be written in Hamiltonian form. The full advantage of this is achieved only when the existence of canonical coordinates and momenta is known. Here such coordinates are exhibited for three large classes of equations—which seem to include almost all known completely integrable Hamiltonian systems.
Keywords: integrable Hamiltonian systems, Darboux theorem, Fourier transform
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Selected References
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