Abstract
Using the inverse scattering transform, we investigate an initial boundary-value problem with zero boundary condition for the Toda lattice. We prove the existence and uniqueness of a rapidly decreasing solution and determine a class of initial data that guarantees the existence of a rapidly decreasing solution.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 8, pp. 1144 – 1152, August, 2005.
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Khanmamedov, A.K. Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice. Ukr Math J 57, 1350–1359 (2005). https://doi.org/10.1007/s11253-005-0267-7
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DOI: https://doi.org/10.1007/s11253-005-0267-7