Cabada, Alberto; Urazboev, Gayrat Integration of the Toda lattice with an integral-type source. (English) Zbl 1201.37100 Inverse Probl. 26, No. 8, Article ID 085004, 12 p. (2010). Reviewer: Hu Chuangan (Cupertino) MSC: 37K15 37K40 37K10 35Q51 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{G. Urazboev}, Inverse Probl. 26, No. 8, Article ID 085004, 12 p. (2010; Zbl 1201.37100) Full Text: DOI
Khanra, Barun; Ghose Choudhury, A. Canonical Bäcklund transformation for the DST model under open boundary conditions. (English) Zbl 1180.82030 Inverse Probl. 25, No. 8, Article ID 085002, 11 p. (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82B20 37K35 37K60 PDFBibTeX XMLCite \textit{B. Khanra} and \textit{A. Ghose Choudhury}, Inverse Probl. 25, No. 8, Article ID 085002, 11 p. (2009; Zbl 1180.82030) Full Text: DOI
Mañas, Manuel; Martínez Alonso, Luis; Álvarez-Fernández, Carlos The multicomponent 2D Toda hierarchy: discrete flows and string equations. (English) Zbl 1181.37099 Inverse Probl. 25, No. 6, Article ID 065007, 31 p. (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K10 37K05 37K60 PDFBibTeX XMLCite \textit{M. Mañas} et al., Inverse Probl. 25, No. 6, Article ID 065007, 31 p. (2009; Zbl 1181.37099) Full Text: DOI arXiv Link
Gago-Alonso, A.; Santiago-Moreno, L.; Piñeiro-Díaz, L. R. Direct and inverse problems for the generalized relativistic Toda lattice and the connection with general orthogonal polynomials. (English) Zbl 1136.37037 Inverse Probl. 24, No. 2, Article ID 025009, 10 p. (2008). MSC: 37K10 37K15 39A12 30C10 PDFBibTeX XMLCite \textit{A. Gago-Alonso} et al., Inverse Probl. 24, No. 2, Article ID 025009, 10 p. (2008; Zbl 1136.37037) Full Text: DOI
Iwasaki, Masashi; Nakamura, Yoshimasa An application of the discrete Lotka-Volterra system with variable step-size to singular value computation. (English) Zbl 1057.65018 Inverse Probl. 20, No. 2, 553-563 (2004). Reviewer: Liu Xinguo (Qingdao) MSC: 65F20 65F15 39A12 37K60 37N30 PDFBibTeX XMLCite \textit{M. Iwasaki} and \textit{Y. Nakamura}, Inverse Probl. 20, No. 2, 553--563 (2004; Zbl 1057.65018) Full Text: DOI
Coussement, J.; Van Assche, W. An extension of the Toda lattice: a direct and inverse spectral transform connected with orthogonal rational functions. (English) Zbl 1045.37041 Inverse Probl. 20, No. 1, 297-318 (2004). Reviewer: Vjacheslav Yurko (Saratov) MSC: 37K15 39A70 47B39 37K10 PDFBibTeX XMLCite \textit{J. Coussement} and \textit{W. Van Assche}, Inverse Probl. 20, No. 1, 297--318 (2004; Zbl 1045.37041) Full Text: DOI
Kimijima, Taeko; Tokihiro, Tetsuji Initial-value problem of the discrete periodic Toda equation and its ultradiscretization. (English) Zbl 1021.35116 Inverse Probl. 18, No. 6, 1705-1732 (2002). MSC: 35Q58 37K60 37K15 PDFBibTeX XMLCite \textit{T. Kimijima} and \textit{T. Tokihiro}, Inverse Probl. 18, No. 6, 1705--1732 (2002; Zbl 1021.35116) Full Text: DOI
Boiti, M.; Pempinelli, F. Some integrable finite -dimensional systems and their continuous counterparts. (English) Zbl 0880.35111 Inverse Probl. 13, No. 4, 919-937 (1997). MSC: 35Q58 37J35 37K10 35R30 PDFBibTeX XMLCite \textit{M. Boiti} and \textit{F. Pempinelli}, Inverse Probl. 13, No. 4, 919--937 (1997; Zbl 0880.35111) Full Text: DOI
Shchesnovich, V. S. Nonlinear integrable systems via general local \(N\times N\) matrix \(\overline {\delta}\)-problem. (English) Zbl 0846.35098 Inverse Probl. 12, No. 1, L1-L7 (1996). MSC: 35Q05 37J35 37K10 PDFBibTeX XMLCite \textit{V. S. Shchesnovich}, Inverse Probl. 12, No. 1, L\, 1-L\, 7 (1996; Zbl 0846.35098) Full Text: DOI
Merola, I.; Ragnisco, O.; Tu, Guizhang A novel hierarchy of integrable lattices. (English) Zbl 0815.35105 Inverse Probl. 10, No. 6, 1315-1334 (1994). MSC: 35Q53 37J35 37K10 39A12 PDFBibTeX XMLCite \textit{I. Merola} et al., Inverse Probl. 10, No. 6, 1315--1334 (1994; Zbl 0815.35105) Full Text: DOI arXiv
Common, A. K. A solution of the initial value problem for half-infinite integrable lattice systems. (English) Zbl 0749.35051 Inverse Probl. 8, No. 3, 393-408 (1992). MSC: 35Q55 35C20 37J35 37K10 PDFBibTeX XMLCite \textit{A. K. Common}, Inverse Probl. 8, No. 3, 393--408 (1992; Zbl 0749.35051) Full Text: DOI
Common, A. K.; Hafez, S. T. Linearization of the relativistic and discrete-time Toda lattices for particular boundary conditions. (English) Zbl 0755.35128 Inverse Probl. 8, No. 1, 59-69 (1992). MSC: 35Q55 37J35 37K10 PDFBibTeX XMLCite \textit{A. K. Common} and \textit{S. T. Hafez}, Inverse Probl. 8, No. 1, 59--69 (1992; Zbl 0755.35128) Full Text: DOI
Sabatier, Pierre C. Spectral transform for nonlinear evolution equations with \(N\) discrete space dimensions. (English) Zbl 0766.35058 Inverse Probl. 8, No. 6, L29-L33 (1992). MSC: 35Q58 37J35 37K10 58J72 PDFBibTeX XMLCite \textit{P. C. Sabatier}, Inverse Probl. 8, No. 6, L29--L33 (1992; Zbl 0766.35058) Full Text: DOI