NDLI: The Toda lattice with step-like initial data. Soliton asymptotics

Content Provider	Scilit
Author	Monvel, A. Boutet De Egorova, Iryna
Copyright Year	2000
Description	Journal: Inverse Problems We study the asymptotic behaviour of solutions of the Toda lattice Cauchy problem with step-like initial data near the wavefront. The initial data are supposed to tend to the discrete Laplacian on one half-axis and to the periodic Jacobi matrix on the other. The solution is shown to split into an infinite series of solitons when time tends to infinity. We obtain an exact asymptotic formula for these solutions.
Related Links	http://iopscience.iop.org/article/10.1088/0266-5611/16/4/306/pdf
Ending Page	977
Page Count	23
Starting Page	955
ISSN	02665611
e-ISSN	13616420
DOI	10.1088/0266-5611/16/4/306
Journal	Inverse Problems
Issue Number	4
Volume Number	16
Language	English
Publisher	IOP Publishing
Publisher Date	2000-07-13
Access Restriction	Open
Subject Keyword	Journal: Inverse Problems Toda Lattice Jacobi Matrix Infinite Series Cauchy Problem
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications

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The Toda lattice with step-like initial data. Soliton asymptotics