Inverse scattering transform for the Toda lattice with steplike initial data

2010/08/03 by Agil Kh. Khanmamedov, Khanmamedov, Agil Kh.
Mathematics · Physics and Astronomy · #34K29 #35Q58 #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Optical and Acousto-Optic Technologies #Spectral Theory (math.SP) #math-ph #math.MP #math.SP #msc:34K29 #msc:35Q58

paper · pdf · doi:10.48550/arxiv.1008.0534

10 pages

arxiv created 2010/08/03 · openalex publication_date 2010/08/03 · arxiv updated 2010/08/04 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

Abstract

We study the solution of the Toda lattice Cauchy problem with steplike initial data. The initial data are supposed to tend to zero as n → +∞. By the inverse scattering transform method formulas allowing us to find solution of the Toda lattice are obtained.

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