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Geometry of the recursion operators for Caudrey-Beals-Coifman system in the presence of Mikhailov type \(\mathbb Z_p\) reductions. (English) Zbl 1329.35264

Summary: We give a geometric picture for the recursion operators related to the Caudrey-Beals-Coifman linear problem and the nonlinear evolution equations associated to it in the presence of \(\mathbb Z_p\) reductions of Mikhailov type.

MSC:

35Q51 Soliton equations
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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