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arxiv: nlin/0211032 · v3 · submitted 2002-11-20 · 🌊 nlin.SI

Rational Approximate Symmetries of KdV Equation

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keywords equationrationalsymmetriesapproximateapproximatelybi-hamiltonianconstructdeformation
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We construct one-parameter deformation of the Dorfman Hamiltonian operator for the Riemann hierarchy using the quasi-Miura transformation from topological field theory. In this way, one can get the approximately rational symmetries of KdV equation and then investigate its bi-Hamiltonian structure.

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