Recursion operators and expansions over adjoint solutions for the Caudrey-Beals-Coifman system with \(\mathbb Z_P\) reductions of Mikhailov type. (English) Zbl 1293.35271

Summary: We consider the Caudrey-Beals-Coifman linear problem and the theory of the recursion operators (generating operators) related to it in the presence of \(\mathbb Z_p\) reduction of Mikhailov type.


35Q51 Soliton equations
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35Q55 NLS equations (nonlinear Schrödinger equations)