Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry

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Abstract

In this paper, the theory for curves in centro-equiaffine symplectic geometry is established. Integrable systems satisfied by the curvatures of curves under inextensible motions in centro-equiaffine symplectic geometry are identified. It is shown that certain non-stretching invariant curve flows in centro-equiaffine symplectic geometry are closely related to the matrix KdV equations and their extension. © 2011 Elsevier B.V. All rights reserved.

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Song, J., & Qu, C. (2012). Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry. Physica D: Nonlinear Phenomena, 241(4), 393–402. https://doi.org/10.1016/j.physd.2011.10.010

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