Multilinear Evolution Equations for Time-Harmonic Flows

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages LATEX

Scientific paper

10.1088/0264-9381/13/7/001

It is shown that time-harmonic hypersurface motions in various, conformally
flat, N-dimensional manifolds admit a multilinear description, dL/dt={ L, M_1,
... , M_{N-2} }, automatically generating infinitely many conserved quantities,
as well as leading to new (integrable) matrix equations. Interestingly, the
conformal factor can be changed without changing L.

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