A quaternion-based obtention of the angle between adjacent sides in the evolution of regular polygons of $M$ sides under the vortex filament equation

Fernando Chamizo, Francisco de la Hoz

PDEs in connection with fluid mechanics (35Q35) Trigonometric and exponential sums (general theory) (11L03) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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