Canonically conjugate variables for the periodic Camassa-Holm equation
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🧮 math-ph
math.APmath.MP
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bracketscamassa-holmconjugateequationvariablescanonicallycompatibleconstructed
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The Camassa-Holm shallow water equation is known to be Hamiltonian with respect to two compatible Poisson brackets. A set of conjugate variables is constructed for both brackets using spectral theory.
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