This article is cited in 10 papers

Toda lattice with a special self-consistent source

G. U. Urazboev

Al-Kharezmi Urgench State University, Khorezm, Uzbekistan

Abstract: We describe a method for integrating the Toda lattice with a self-consistent source using the inverse scattering method for a discrete Sturm–Liouville operator with moving eigenvalues.

Keywords: Toda lattice, self-consistent source, inverse scattering method, moving eigenvalues.

Received: 15.03.2007

DOI: 10.4213/tmf6171

 English version: Theoretical and Mathematical Physics, 2008, 154:2, 260–269

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