Geodesic
Integrals of open two-dimensional lattices
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 79-85

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We present an explicit formula for integrals of the open two-dimensional Toda lattice of type $A_n$. This formula is applicable for various reductions of this lattice. As an illustration, we find integrals of the $G_2$ Toda lattice. We also reveal a connection between the open $A_n$ Toda and Shabat–Yamilov lattices.
Keywords: integral, open two-dimensional Toda lattice. 
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     author = {D. K. Demskoi},
     title = {Integrals of open two-dimensional lattices},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {79--85},
     publisher = {mathdoc},
     volume = {163},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a4/}
}
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D. K. Demskoi. Integrals of open two-dimensional lattices. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 79-85. http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a4/