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A formula for constructing infinitely many surfaces on Lie algebras and integrable equations. (English) Zbl 0976.35064
An explicit formula is presented which associates a given system of integrable nonlinear PDEs with infinitely many surfaces immersed in Lie algebras.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
53A05 Surfaces in Euclidean and related spaces
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
35Q58 Other completely integrable PDE (MSC2000)
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