Linear problems and Bäcklund transformations for the Hirota-Ohta system

Abstract

The auxiliary linear problems are presented for all discretization levels of the Hirota-Ohta system. The structure of these linear problems coincides essentially with the structure of Nonlinear Schrödinger hierarchy. The squared eigenfunction constraints are found which relate Hirota-Ohta and Kulish-Sklyanin vectorial NLS hierarchies.

11 pages, 1 figure

References in corpus (2)

• Integrable lattices and their sublattices II. From the B-quadrilateral lattice to the self-adjoint schemes on the triangular and the honeycomb lattices
• Integrable dynamics of Toda-type on the square and triangular lattices

Cited by in corpus (2)

• Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems
• On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems