Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion

Details Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion

2012-02-24

arxiv.org/abs/1202.5404v1

Journal of Mathematical Physics 50, 013504 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, 1 figure

Scientific paper

10.1063/1.3036179

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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