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Lie algebras and equations of Korteweg-de Vries type. (English) Zbl 0578.58040
Translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 24, 81–180 (Russian) (1984; Zbl 0558.58027).

MSC:
37L05 General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations
35Q53 KdV equations (Korteweg-de Vries equations)
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
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