A formula for constructing infinitely many surfaces on Lie algebras and integrable equations. (English) Zbl 0976.35064

Fokas, A. S.; Gel’fand, I. M.; Finkel, F.; Liu, Q. M.

Sel. Math., New Ser. 6, No. 4, 347-375 (2000).

An explicit formula is presented which associates a given system of integrable nonlinear PDEs with infinitely many surfaces immersed in Lie algebras.

Reviewer: Igor Andrianov (Köln)

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)

Keywords:

integrable surface; symmetry; integrable PDE