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

Yanovski, Alexandar

J. Geom. Symmetry Phys. 30, 105-120 (2013).

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.

MSC:

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)

Keywords:

Caudrey-Beals-Coifman (CBC) system; generalized Zakharov-Shabat (GZS) system; AKNS approach; soliton equations