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arxiv: 1007.4698 · v1 · pith:YWSFLCWEnew · submitted 2010-07-27 · 🌊 nlin.SI · math-ph· math.MP

Linear problems and B\"acklund transformations for the Hirota-Ohta system

classification 🌊 nlin.SI math-phmath.MP
keywords hirota-ohtalinearproblemsstructuresystemacklundauxiliarycoincides
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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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