Geodesic
Extended Toda Lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 40-46

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We introduce nonlocal flows that commute with those of the classical Toda hierarchy. We define a logarithm of the difference Lax operator and use it to obtain a Lax representation of the new flows.
Keywords: Toda lattice, logarithm of a difference operator, Lax representation, bi-Hamiltonian formalism. 
@article{TMF_2003_137_1_a4,
     author = {G. Carlet},
     title = {Extended {Toda} {Lattice}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {40--46},
     publisher = {mathdoc},
     volume = {137},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a4/}
}
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G. Carlet. Extended Toda Lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 40-46. http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a4/