First integrals of generalized Toda chains
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 349-357
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
We construct a zero-curvature representation for generalized Toda chains. Evaluating the first integrals amounts to multiplying the matrices that depend linearly on the fields and satisfy a given multiplication table.
[1] V. E. Adler, A. B. Shabat, TMF, 111:3 (1997), 323–334 | DOI | MR | Zbl
[2] V. E. Adler, A. B. Shabat, TMF, 112:2 (1997), 179–194 | DOI | MR | Zbl
[3] Yu. B. Suris, J. Phys. A, 29 (1996), 451–465 | DOI | MR | Zbl
[4] V. E. Adler, I. T. Khabibullin, Funkts. analiz i ego prilozh., 31:2 (1997), 1–14 | DOI | MR | Zbl
[5] V. E. Adler, R. I. Yamilov, J. Phys. A, 27 (1994), 477–492 | DOI | MR | Zbl
[6] R. I. Yamilov, “Classification of Toda type scalar lattices”, Proc. Int. Workshop NEEDS'92, World Scientific Publ., Singapore, 1993, 423
[7] A. B. Shabat, R. I. Yamilov, Algebra i analiz, 2:2 (1990), 183–208 | MR