Integrable deformations of a polygon

Abstract

The new integrable mapping with a simple geometric interpretation is presented. This mapping arise from the nonlinear superposition principle for the Bäcklund transformations of some vector evolution equation.

8 pp, LaTeX, 18K

Cited by in corpus (3)

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• On vector analogs of the modified Volterra lattice
• New reductions of integrable matrix PDEs: $Sp(m)$-invariant systems