Classification of integrable Volterra type lattices on the sphere. Isotropic case

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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16 pages

Scientific paper

10.1088/1751-8113/41/14/145201

The symmetry approach is used for classification of integrable isotropic
vector Volterra lattices on the sphere. The list of integrable lattices
consists mainly of new equations. Their symplectic structure and associated PDE
of vector NLS-type are discussed.

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