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From elementary algebra to Bäcklund transformations. (English) Zbl 0726.58041
Several problems of the theory of ordinary and partial differential equations are reviewed. These are infinite systems of linear equations, vector fields on \({\mathbb{R}}^{\infty}\), differential forms, the Frobenius theorem, Monge systems of equations, Lie-Bäcklund infinitesimal symmetries etc.

37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
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