Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion
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🌊 nlin.SI
keywords
equationevolutionintegrabilitynonlinearassociatedbi-hamiltonianchoucurve
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We provide a geometrical interpretation for the series of transformations used by Sakovich to map the third-order nonlinear evolution equation obtained by Chou and Qu to the mKdV equation. We also discuss its bi-Hamiltonian integrability as well as integrable equations associated with this system.
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