Linear problems and B\"acklund transformations for the Hirota-Ohta system
V.E. Adler, V.V. Postnikov
TL;DR
This paper explores the linear problems associated with the Hirota-Ohta system across various discretization levels, revealing its structural similarity to the Nonlinear Schrödinger hierarchy and establishing connections through squared eigenfunction constraints.
Contribution
It introduces auxiliary linear problems for the Hirota-Ohta system at all discretization levels and links it to the Nonlinear Schrödinger hierarchy via squared eigenfunction constraints.
Findings
Linear problems mirror the structure of the Nonlinear Schrödinger hierarchy
Squared eigenfunction constraints connect Hirota-Ohta and Kulish-Sklyanin hierarchies
Discretization levels are systematically analyzed
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 Schr\"odinger hierarchy. The squared eigenfunction constraints are found which relate Hirota-Ohta and Kulish-Sklyanin vectorial NLS hierarchies.
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