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arxiv: 0905.1800 · v2 · submitted 2009-05-12 · 🌊 nlin.SI · math-ph· math.MP

Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

classification 🌊 nlin.SI math-phmath.MP
keywords finite-gaphierarchyinversescatteringsolutionstodatransformasymptotically
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We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap solutions as $n\to\pm\infty$.

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